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Popular >

simplify sqrt(x^4-x^2)

Solution

simplify

x^{4} - x^{2}

Solution

x x^{2} - 1

Solution steps

x^{4} - x^{2}

Factor out common term

x^{2} : x^{2} (x^{2} - 1)

= x^{2} (x^{2} - 1)

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

x^{2} (x^{2} - 1) = x^{2} x^{2} - 1

= x^{2} x^{2} - 1

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

x^{2} = x

= x x^{2} - 1

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Frequently Asked Questions (FAQ)

What is sqrt(x^4-x^2) ?
The solution to sqrt(x^4-x^2) is xsqrt(x^2-1)