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Expand the expression
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Factorize the expression
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$x ^ { 3 } + \left ( - a - b - c \right ) x ^ { 2 } + \left ( a b + a c + b c \right ) x - a b c$
Organize polynomials
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ a } \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ b } \right ) \left ( x - c \right )$
$ $ Organize the expression with the distributive law $ $
$\left ( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ b } \right ) \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ a } \color{#FF6800}{ b } \right ) \left ( x - c \right )$
$\left ( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ b } \right ) \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ a } \color{#FF6800}{ b } \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ c } \right )$
$ $ Organize the expression with the distributive law $ $
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ b } \color{#FF6800}{ - } \color{#FF6800}{ c } \right ) \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \left ( \color{#FF6800}{ a } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ a } \color{#FF6800}{ c } \color{#FF6800}{ + } \color{#FF6800}{ b } \color{#FF6800}{ c } \right ) \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ a } \color{#FF6800}{ b } \color{#FF6800}{ c }$
$- \left ( a - x \right ) \left ( b - x \right ) \left ( c - x \right )$
Arrange the expression in the form of factorization..
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ a } \right ) \left ( x - b \right ) \left ( x - c \right )$
$ $ Organize the expression $ $
$\left ( \color{#FF6800}{ - } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ x } \right ) \left ( x - b \right ) \left ( x - c \right )$
$\left ( \color{#FF6800}{ - } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ x } \right ) \left ( x - b \right ) \left ( x - c \right )$
$ $ Expand the expression $ $
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ a } \right ) \left ( x - b \right ) \left ( x - c \right )$
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ a } \right ) \left ( x - b \right ) \left ( x - c \right )$
$ $ Do factorization $ $
$\color{#FF6800}{ - } \left ( \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ x } \right ) \left ( x - b \right ) \left ( x - c \right )$
$- \left ( a - x \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ b } \right ) \left ( x - c \right )$
$ $ Organize the expression $ $
$- \left ( a - x \right ) \left ( \color{#FF6800}{ - } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ x } \right ) \left ( x - c \right )$
$- \left ( a - x \right ) \left ( \color{#FF6800}{ - } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ x } \right ) \left ( x - c \right )$
$ $ Expand the expression $ $
$- \left ( a - x \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ b } \right ) \left ( x - c \right )$
$- \left ( a - x \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ b } \right ) \left ( x - c \right )$
$ $ Do factorization $ $
$- \left ( a - x \right ) \times \left ( \color{#FF6800}{ - } \left ( \color{#FF6800}{ b } \color{#FF6800}{ - } \color{#FF6800}{ x } \right ) \right ) \left ( x - c \right )$
$- \left ( a - x \right ) \times \left ( - \left ( b - x \right ) \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ c } \right )$
$ $ Organize the expression $ $
$- \left ( a - x \right ) \times \left ( - \left ( b - x \right ) \right ) \left ( \color{#FF6800}{ - } \color{#FF6800}{ c } \color{#FF6800}{ + } \color{#FF6800}{ x } \right )$
$- \left ( a - x \right ) \times \left ( - \left ( b - x \right ) \right ) \left ( \color{#FF6800}{ - } \color{#FF6800}{ c } \color{#FF6800}{ + } \color{#FF6800}{ x } \right )$
$ $ Expand the expression $ $
$- \left ( a - x \right ) \times \left ( - \left ( b - x \right ) \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ c } \right )$
$- \left ( a - x \right ) \times \left ( - \left ( b - x \right ) \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ c } \right )$
$ $ Do factorization $ $
$- \left ( a - x \right ) \times \left ( - \left ( b - x \right ) \right ) \times \left ( \color{#FF6800}{ - } \left ( \color{#FF6800}{ c } \color{#FF6800}{ - } \color{#FF6800}{ x } \right ) \right )$
$\color{#FF6800}{ - } \left ( a - x \right ) \times \left ( \color{#FF6800}{ - } \left ( b - x \right ) \right ) \times \left ( \color{#FF6800}{ - } \left ( c - x \right ) \right )$
$ $ If you multiply negative numbers by odd numbers, move the (-) sign forward $ $
$- \left ( a - x \right ) \left ( b - x \right ) \left ( c - x \right )$
Solution search results
search-thumbnail-Theis the statement of the Mean Value Theorem from your te\timestb00k
The is the statement of the Mean Value Theorem from your $te\times tb00k$ $Tneoren$ $m4.5$ $Ne8n$ Value Theorem Let f be continuous over $leclose$ interval $\left(a.b\right)aod$ $i$ $eo$ $xd$ $csnlc$ $\left(ab\right)$ $mmd$ exists at least one point cE $\left(a.b\right)$ $si1dhtba$ $f^{'}\left(c\right)=\dfrac {f\left(b\right)-f\left(a\right)} {b-a}$ What is the geometric interpretation of the conclusion of the theorem? O The tangent line to the graph of \(f\left(x\right)\) at $l\left(c1\right)$ is parallel to the secant line connecting \(\left(a,f\left(a\right)\right)\) and \(\left(b,f\left(b\right)\right)\). O The tangent line to the graph of $\left(f\left(lef\left(x\left(right\right)$ at \(c\) is the secant line connecting \(\left(a,f\left(a\right)\right)\) $ana$ \(\left(b,f\left(b\right)\right)\). O The tangent line to the graph $of$ $\left(f\left(leF\left(x\left(right\right)\left(\right)at1\left(c1\right)is$ perpendicular to the secant line connecting \(\left(a,f\left(a\right)\right)\) and A(\left(b,f\left(b\right)\right)\). O The tangent line to the graph of $\left(fleH\left(x\right)nght\right)\right)\right)$ $at$ $\left(c\right)\right)ishoizonta|$ $Tnere$ is more than one tangent line to the graph $0no$ $\left(flcf\left(x\right)night\right)\left($ $at1\left(c1\right)$
Calculus
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search-thumbnail-If the sum of two consecutive
If the sum of two consecutive numbers is $45$ and one number is $X$ .This statement in the form of equation $1s:$ $\left(1$ Point) $\right)$ $○5x+1$ $1eft\left(x+1$ $r1gnt\right)=45s$ $○sx+1ef\left(x+2$ $r1gnt\right)=145s$ $sx+1x=45s$
7th-9th grade
Algebra
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search-thumbnail-$The\ reciprocal\\ 0+11) \left(\frac{2}
$8$ $\left(1$ Point) $1\right)$ The\ reciprocal\\ $0+11\right)$ \left(\frac{2} $c\left(2\right)$ {5}\right)^0\ $\right)$ \ $1111s\right)$ $S$ $S1S$ $s3S$ $S4S$ $s2S$
7th-9th grade
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search-thumbnail-s|ef(-1n }\right)^{50}\ ) \ is\ equal\ to\ S
$s|ef\left(-1n$ $\left($ }\right)^{50}\ $\right)$ \ | | is\ equal\ to\ $S$ $s1S$ $S-1S$ $s2S$ $s50s$
7th-9th grade
Other
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search-thumbnail-Given the set of ordered pairs ((-7.0),(-6,5),(-5,-3),(-1,2) (1,6),(2,-2) (5,3)(7,-8))
Given the set of ordered pairs $\left(\left(-7.0\right),\left(-6,5\right),\left(-5,-3\right),\left(-1,2\right)$ $\left(1,6\right),\left(2,-2\right)$ $\left(5,3\right)\left(7,-8\right)\right)$ Find f(7)fAleft(7\right) O a O b -8 6. $5$
7th-9th grade
Algebra
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search-thumbnail-y=\dfrac{ax^{2}}{(x-a)(x-b)(x-c)}+\dfrac{bx}{(x-b)(x-c)}+\dfrac{c}{(x-c)}1 Show that
$y=\dfrac {ax^{2}} {\left(x-a\right)\left(x-b\right)\left(x-c\right)}+\dfrac {bx} {\left(x-b\right)\left(x-c\right)}+\dfrac {c} {\left(x-c\right)}1$ Show that $4.$ $\left(a\right)$ $15y$ $\dfrac {dy} {dx}=\dfrac {y} {x}\left(\dfrac {a} {a-x}+\dfrac {b} {b-x}+\dfrac {c} {c-x}\right)$
Calculus
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