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Formula

Expand the expression

Answer

Factorize the expression

Answer

$\left( y ^{ 2 } +7y-6 \right) - \left( 3y ^{ 2 } +5 \right)$

$- 2 y ^ { 2 } + 7 y - 11$

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..

$ $ Expand the expression $ $

$\color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 11 }$

$ $ 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

search-thumbnail-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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