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Formula

Factorize the expression

Answer

$4ax ^{ 2 } -10ax-24a$

$2 a \left ( x - 4 \right ) \left ( 2 x + 3 \right )$

Arrange the expression in the form of factorization..

$\color{#FF6800}{ 4 } \color{#FF6800}{ a } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 10 } \color{#FF6800}{ a } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 24 } \color{#FF6800}{ a }$

$ $ Tie a common factor $ $

$\color{#FF6800}{ 2 } \color{#FF6800}{ a } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 12 } \right )$

$2 a \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 12 } \right )$

$ $ Use the factoring formula, $ acx^{2} + \left(ad + bc\right)x + bd = \left(ax+b\right)\left(cx+d\right)$

$2 a \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \right ) \left ( \color{#FF6800}{ 1 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \right )$

$2 a \left ( 2 x + 3 \right ) \left ( \color{#FF6800}{ 1 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \right )$

$ $ Expand the expression $ $

$2 a \left ( 2 x + 3 \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \right )$

$2 a \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \right )$

$ $ Sort the factors $ $

$2 a \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \right ) \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \right )$

Solution search results

search-thumbnail-If $a,$ $b$ are roots of $x^{2}-10cx-11d=0$
and $C_{9}$ $a$ are roots of
$x^{2}-10ax-$
$-10ax-11b=0$ If $a$ $b_{1}$ c, d are
real numbers, then the value of
$a+b+c+d=$

10th-13th grade

Other

Check solution

search-thumbnail-$11x^{2}-10ax-11b=0$ have roots $C$ and $d$ $x^{2}-10cx-11d=0$ have roots a and $0$ then find
$\dfrac {a+b+c+d} {242}$

7th-9th grade

Other

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