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

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

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

simplify

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

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

Solution steps

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

Factor

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

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

Factor

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

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

Apply exponent rule:

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

x^{2} = xx

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

Cancel the common factor:

x

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

2^{2^{5}}

lo g_{2} (121)

4 x (4 x^{2} - x + 3)

2 (\frac{- 1}{2})

(r + 2)^{2}

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