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Popular >

factor x^4+4x^3+4x^2

Solution

factor

x^{4} + 4 x^{3} + 4 x^{2}

Solution

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

Solution steps

x^{4} + 4 x^{3} + 4 x^{2}

Factor out common term

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

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

Factor

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

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

Apply exponent rule:

aa = a^{2}

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

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

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Frequently Asked Questions (FAQ)

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