What is (((x^3+4x^2)(2x+4)))/((2x^2+12x+16)) ?

The solution to (((x^3+4x^2)(2x+4)))/((2x^2+12x+16)) is x^2

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simplify (((x^3+4x^2)(2x+4)))/((2x^2+12x+16))

simplify

\frac{( ( x ^{3} + 4 x ^{2} ) ( 2 x + 4 ) )}{( 2 x ^{2} + 12 x + 16 )}

x^{2}

Solution steps

\frac{( x ^{3} + 4 x ^{2} ) ( 2 x + 4 )}{2 x ^{2} + 12 x + 16}

Factor

x^{3} + 4 x^{2} : x^{2} (x + 4)

= \frac{x ^{2} ( x + 4 ) ( 2 x + 4 )}{2 x ^{2} + 12 x + 16}

Factor

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

= \frac{x ^{2} ( x + 4 ) ( 2 x + 4 )}{2 ( x + 2 ) ( x + 4 )}

Cancel the common factor:

x + 4

= \frac{x ^{2} ( 2 x + 4 )}{2 ( x + 2 )}

Factor

2 x + 4 : 2 (x + 2)

= \frac{x ^{2} \cdot 2 ( x + 2 )}{2 ( x + 2 )}

Cancel the common factor:

2

= \frac{x ^{2} ( x + 2 )}{x + 2}

Cancel the common factor:

x + 2

= x^{2}

\frac{a}{b} + 2 \frac{a}{0.5} b

(1 + a^{2})^{3}

\frac{( - 2 x ^{3} - 7 x ^{2} - 14 x )}{( - 7 x )}

2 x^{4} - 3 x^{3} - 3 x - 2

\frac{( 1 + cos ( x ) )}{sin ( x )}

What is (((x^3+4x^2)(2x+4)))/((2x^2+12x+16)) ?
The solution to (((x^3+4x^2)(2x+4)))/((2x^2+12x+16)) is x^2