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Formula
Factorize the expression
Answer
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$x ^{ 2 } +7x+10$
$\left ( x + 2 \right ) \left ( x + 5 \right )$
Arrange the expression in the form of factorization..
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 10 }$
$ $ Use the factoring formula, $ x^{2} + \left(a+b\right)x + ab = \left(x+a\right)\left(x+b\right)$
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \right )$
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \right )$
$ $ Sort the factors $ $
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \right )$
Solution search results
search-thumbnail-$1\right)$ $\dfrac {x^{2}+7x+10} {x^{2}-9x+14}.\dfrac {x^{2}-6x-7} {x^{2}+6x+5}$
10th-13th grade
Calculus
search-thumbnail-$x^{2}+7x+10$ $x^{2}+7x+12$ 
2.Multiply 
$x^{2}+5x+6$ $x^{2}+8x+16$ 
Factor the numerator and denominator of the two rational 
$\left(x+4\right)$ expressions. 
$=$ $\left(x+5\right)$ $-$ $-$ 
$\left(x+2\right)$ $\left(x+4\right)$ 
Divide out or Cancel out common numerator and the 
%D denominator 
$x+5$ Simplify. 
$=$ 
$x^{2}+7x+10$ $x^{2}+7x+12$ 

$x^{2}+8x+16$ 
$Ans$ $er$ $x^{2}+5x+6$
7th-9th grade
Algebra
search-thumbnail-$f\left(x\right)=-10x^{2}+7x+18$
1st-6th grade
Calculus
search-thumbnail-$0$ $x^{2}+7x+10$ 
(iii) $2$ $x^{--3}$
10th-13th grade
Other
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