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Expand the expression
Answer
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Factorize the expression
Answer
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$\left( y ^{ 2 } +7y-6 \right) - \left( 3y ^{ 2 } +5 \right)$
$- 2 y ^ { 2 } + 7 y - 11$
Organize polynomials
$\left ( \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \right ) \color{#FF6800}{ - } \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \right )$
$ $ Get rid of unnecessary parentheses $ $
$\color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \right )$
$y ^ { 2 } + 7 y - 6 \color{#FF6800}{ - } \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \right )$
$ $ Change the symbol of each term in parentheses when there is a (-) symbol in front of parentheses $ $
$y ^ { 2 } + 7 y - 6 \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 5 }$
$\color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 5 }$
$ $ Organize the similar terms $ $
$\left ( \color{#FF6800}{ 1 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right ) \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \color{#FF6800}{ y } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \right )$
$\left ( \color{#FF6800}{ 1 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right ) \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } + 7 y + \left ( - 6 - 5 \right )$
$ $ Arrange the constant term $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } + 7 y + \left ( - 6 - 5 \right )$
$- 2 y ^ { 2 } + 7 y + \left ( \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \right )$
$ $ Arrange the constant term $ $
$- 2 y ^ { 2 } + 7 y \color{#FF6800}{ - } \color{#FF6800}{ 11 }$
$- \left ( 2 y ^ { 2 } - 7 y + 11 \right )$
Arrange the expression in the form of factorization..
$\left ( \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \right ) \color{#FF6800}{ - } \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \right )$
$ $ Expand the expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 11 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 11 }$
$ $ Bind the expressions with the common factor $ - 1$
$\color{#FF6800}{ - } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 7 } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 11 } \right )$
Solution search results
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7th-9th grade
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search-thumbnail-5+ar^{+a+5},9^{°} 309 9 |
$∪x$ The wumber lIne $5+ar^{+a+5},9^{°}$ $309$ 9 $|$ $ef+$ $2$ $S+ar+a+$ $△$ $\right)$ $y°6$ $lcf_{t}$ $\left(3$ $5+ar+a+-8,9^{°5c1gh+}$ $5+ar+a+-13$ $\right)$ $g^{0}$ $9$ $rlgh+$ 4Start $5$ 5 $S+4r^{++-2}1^{y0}$ 907 left $\left(0$ $Sa5^{+a1}$ $-3$ $\right)$ $y^{0}$ 5right
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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 $0no$ $\left(flcf\left(x\right)night\right)\left($ $at1\left(c1\right)$
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search-thumbnail-s|ef(-1n }\right)^{50}\ ) \ is\ equal\ to\ S
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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))
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10th-13th grade
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