What is (8x^3+12x^2)/(4x) ?

The solution to (8x^3+12x^2)/(4x) is x(2x+3)

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simplify (8x^3+12x^2)/(4x)

simplify

\frac{8 x ^{3} + 12 x ^{2}}{4 x}

x (2 x + 3)

Solution steps

\frac{8 x ^{3} + 12 x ^{2}}{4 x}

Factor

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

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

Cancel the common factor:

4

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

Apply exponent rule:

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

x^{2} = xx

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

Cancel the common factor:

x

= x (2 x + 3)

(csc (θ) - 1) (csc (θ) + 1)

\frac{- 3}{3 2}

3 (- 5) (- 2)

\frac{4}{5} + \frac{2}{x}

\frac{2}{2 - 3}