What is expand (32x^2+288x+640)/(8x+40) ?

The solution to expand (32x^2+288x+640)/(8x+40) is 4x+16

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expand (32x^2+288x+640)/(8x+40)

expand

\frac{32 x ^{2} + 288 x + 640}{8 x + 40}

4 x + 16

Solution steps

\frac{32 x ^{2} + 288 x + 640}{8 x + 40}

Factor

32 x^{2} + 288 x + 640 : 32 (x^{2} + 9 x + 20)

= \frac{32 ( x ^{2} + 9 x + 20 )}{8 x + 40}

Factor

8 x + 40 : 8 (x + 5)

= \frac{32 ( x ^{2} + 9 x + 20 )}{8 ( x + 5 )}

Divide the numbers:

\frac{32}{8} = 4

= \frac{4 ( x ^{2} + 9 x + 20 )}{( x + 5 )}

Factor

4 (x^{2} + 9 x + 20) : 4 (x + 4) (x + 5)

= \frac{4 ( x + 4 ) ( x + 5 )}{( x + 5 )}

Cancel the common factor:

x + 5

= 4 (x + 4)

Apply the distributive law:

a (b + c) = ab + a c

a = 4, b = x, c = 4

= 4 x + 4 \cdot 4

Multiply the numbers:

4 \cdot 4 = 16

= 4 x + 16

\frac{( x + 2 ) ( x + 4 )}{x + 3}

\frac{1}{( T j x + 1 ) ^{2}}

\frac{3 ( x + 4 )}{x}

5.24 (300)^{0.49}

(e + 6)^{2}

What is expand (32x^2+288x+640)/(8x+40) ?
The solution to expand (32x^2+288x+640)/(8x+40) is 4x+16