What is ((2x^4-4x^2))/((4x)) ?

The solution to ((2x^4-4x^2))/((4x)) is (x(x^2-2))/2

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simplify ((2x^4-4x^2))/((4x))

simplify

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

\frac{x ( x ^{2} - 2 )}{2}

Solution steps

\frac{2 x ^{4} - 4 x ^{2}}{4 x}

Factor

2 x^{4} - 4 x^{2} : 2 x^{2} (x^{2} - 2)

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

Factor the number:

4 = 2 \cdot 2

= \frac{2 x ^{2} ( x ^{2} - 2 )}{2 \cdot 2 x}

Cancel the common factor:

2

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

Apply exponent rule:

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

x^{2} = xx

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

Cancel the common factor:

x

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

b^{2} - 25 x^{2}

3 (x + y) - (x + y)^{2}

x^{8} + x^{10}

(4 y^{3})^{4} (3 y^{7})^{2}

(1 + 3 x + 2 x^{2})^{10}

What is ((2x^4-4x^2))/((4x)) ?
The solution to ((2x^4-4x^2))/((4x)) is (x(x^2-2))/2