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Popular >

factor u^4+4u^3+4u^2

Solution

factor

u^{4} + 4 u^{3} + 4 u^{2}

Solution

u^{2} (u + 2)^{2}

Solution steps

u^{4} + 4 u^{3} + 4 u^{2}

Factor out common term

u^{2} : u^{2} (u^{2} + 4 u + 4)

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

Factor

u^{2} + 4 u + 4 : (u + 2) (u + 2)

= u^{2} (u + 2) (u + 2)

Apply exponent rule:

aa = a^{2}

(u + 2) (u + 2) = (u + 2)^{2}

= u^{2} (u + 2)^{2}

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Frequently Asked Questions (FAQ)

What is factor u^4+4u^3+4u^2 ?
The solution to factor u^4+4u^3+4u^2 is u^2(u+2)^2