What is (15x^2+30x)/(5x^2) ?

The solution to (15x^2+30x)/(5x^2) is (3(x+2))/x

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simplify (15x^2+30x)/(5x^2)

simplify

\frac{15 x ^{2} + 30 x}{5 x ^{2}}

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

Solution steps

\frac{15 x ^{2} + 30 x}{5 x ^{2}}

Factor

15 x^{2} + 30 x : 15 x (x + 2)

= \frac{15 x ( x + 2 )}{5 x ^{2}}

Factor the number:

15 = 5 \cdot 3

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

Cancel the common factor:

5

= \frac{3 x ( x + 2 )}{x ^{2}}

Apply exponent rule:

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

x^{2} = xx

= \frac{3 x ( x + 2 )}{xx}

Cancel the common factor:

x

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

\frac{1}{0 + 1}

4^{l o g_{2} (n) + 1}

\frac{3}{2 3}

a^{2} a^{3}