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Popular >

factor k^4-4k^3+4k^2

Solution

factor

k^{4} - 4 k^{3} + 4 k^{2}

Solution

k^{2} (k - 2)^{2}

Solution steps

k^{4} - 4 k^{3} + 4 k^{2}

Factor out common term

k^{2} : k^{2} (k^{2} - 4 k + 4)

= k^{2} (k^{2} - 4 k + 4)

Factor

k^{2} - 4 k + 4 : (k - 2) (k - 2)

= k^{2} (k - 2) (k - 2)

Apply exponent rule:

aa = a^{2}

(k - 2) (k - 2) = (k - 2)^{2}

= k^{2} (k - 2)^{2}

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Frequently Asked Questions (FAQ)

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