What is (x-5)/(4x+8)*(12x^2+32x+16) ?

The solution to (x-5)/(4x+8)*(12x^2+32x+16) is (x-5)(3x+2)

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simplify (x-5)/(4x+8)*(12x^2+32x+16)

simplify

\frac{x - 5}{4 x + 8} \cdot (12 x^{2} + 32 x + 16)

(x - 5) (3 x + 2)

Solution steps

\frac{x - 5}{4 x + 8} (12 x^{2} + 32 x + 16)

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{( x - 5 ) ( 12 x ^{2} + 32 x + 16 )}{4 x + 8}

Factor

12 x^{2} + 32 x + 16 : 4 (3 x + 2) (x + 2)

= \frac{( x - 5 ) \cdot 4 ( 3 x + 2 ) ( x + 2 )}{4 x + 8}

Factor

4 x + 8 : 4 (x + 2)

= \frac{( x - 5 ) \cdot 4 ( 3 x + 2 ) ( x + 2 )}{4 ( x + 2 )}

Cancel the common factor:

4

= \frac{( x - 5 ) ( 3 x + 2 ) ( x + 2 )}{x + 2}

Cancel the common factor:

x + 2

= (x - 5) (3 x + 2)

x (2 x^{2} + 3 x y + y^{2}) - y (5 x^{2} - 2 x y + y^{2})

(7 - 5) (7 + 5)

cot^{2} (x) - cot^{2} (x) cos^{2} (x)

[\frac{2 x - 2 y ^{2} \cdot ( - x ) 2}{( 2 y ^{4} ) 4}] 4

\frac{2 ^{4}}{( - 4 ) + 25 \cdot 4 + ( 3 \cdot 3 - 5 ) ^{2}}

What is (x-5)/(4x+8)*(12x^2+32x+16) ?
The solution to (x-5)/(4x+8)*(12x^2+32x+16) is (x-5)(3x+2)