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Popular >

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

Solution

factor

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

Solution

x^{2} (2 x + 1)^{2}

Solution steps

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

Factor out common term

x^{2} : x^{2} (4 x^{2} + 4 x + 1)

= x^{2} (4 x^{2} + 4 x + 1)

Factor

4 x^{2} + 4 x + 1 : (2 x + 1) (2 x + 1)

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

Apply exponent rule:

aa = a^{2}

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

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

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Frequently Asked Questions (FAQ)

What is factor 4x^4+4x^3+x^2 ?
The solution to factor 4x^4+4x^3+x^2 is x^2(2x+1)^2