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Factorize the expression
Answer
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$9x ^{ 2 } -80x-100$
$\left ( x - 10 \right ) \left ( 9 x + 10 \right )$
Arrange the expression in the form of factorization..
$\color{#FF6800}{ 9 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 80 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 100 }$
$ $ Use the factoring formula, $ acx^{2} + \left(ad + bc\right)x + bd = \left(ax+b\right)\left(cx+d\right)$
$\left ( \color{#FF6800}{ 9 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 10 } \right ) \left ( \color{#FF6800}{ 1 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 10 } \right )$
$\left ( 9 x + 10 \right ) \left ( \color{#FF6800}{ 1 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 10 } \right )$
$ $ Expand the expression $ $
$\left ( 9 x + 10 \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 10 } \right )$
$\left ( \color{#FF6800}{ 9 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 10 } \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 10 } \right )$
$ $ Sort the factors $ $
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 10 } \right ) \left ( \color{#FF6800}{ 9 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 10 } \right )$
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