What is (8x^2+16x)/(4x^2) ?

The solution to (8x^2+16x)/(4x^2) is (2(x+2))/x

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simplify (8x^2+16x)/(4x^2)

simplify

\frac{8 x ^{2} + 16 x}{4 x ^{2}}

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

Solution steps

\frac{8 x ^{2} + 16 x}{4 x ^{2}}

Factor

8 x^{2} + 16 x : 8 x (x + 2)

= \frac{8 x ( x + 2 )}{4 x ^{2}}

Factor the number:

8 = 4 \cdot 2

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

Cancel the common factor:

4

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

x^{2} = xx

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

Cancel the common factor:

x

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

\frac{5}{12} - \frac{7}{16}

2 m - 16 + 5 m + 45

\frac{B ( x + h ) ^{2} - B x ^{2}}{h}

9 x z^{2} - 5 x z^{2} + 6 x + 7 x z^{2} - 3 x

\frac{\frac{x}{x + 1}}{x ^{3}}