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Popular >

factor x^5+8x^3+16x

Solution

factor

x^{5} + 8 x^{3} + 16 x

Solution

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

Solution steps

x^{5} + 8 x^{3} + 16 x

Factor out common term

x : x (x^{4} + 8 x^{2} + 16)

= x (x^{4} + 8 x^{2} + 16)

Factor

x^{4} + 8 x^{2} + 16 : (x^{2} + 4) (x^{2} + 4)

= x (x^{2} + 4) (x^{2} + 4)

Apply exponent rule:

aa = a^{2}

(x^{2} + 4) (x^{2} + 4) = (x^{2} + 4)^{2}

= x (x^{2} + 4)^{2}

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Frequently Asked Questions (FAQ)

What is factor x^5+8x^3+16x ?
The solution to factor x^5+8x^3+16x is x(x^2+4)^2