What is (32x^4-56x^2)/(8x) ?

The solution to (32x^4-56x^2)/(8x) is x(4x^2-7)

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simplify (32x^4-56x^2)/(8x)

simplify

\frac{32 x ^{4} - 56 x ^{2}}{8 x}

x (4 x^{2} - 7)

Solution steps

\frac{32 x ^{4} - 56 x ^{2}}{8 x}

Factor

32 x^{4} - 56 x^{2} : 8 x^{2} (4 x^{2} - 7)

= \frac{8 x ^{2} ( 4 x ^{2} - 7 )}{8 x}

Cancel the common factor:

8

= \frac{x ^{2} ( 4 x ^{2} - 7 )}{x}

Apply exponent rule:

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

x^{2} = xx

= \frac{xx ( 4 x ^{2} - 7 )}{x}

Cancel the common factor:

x

= x (4 x^{2} - 7)

14 \times 6

\frac{80}{16}

\frac{48}{12}

13 \times 6

160