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Popular >

expand (k^2+k)^2

Solution

expand

(k^{2} + k)^{2}

Solution

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

Solution steps

(k^{2} + k)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

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

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

Simplify

(k^{2})^{2} + 2 k^{2} k + k^{2} : k^{4} + 2 k^{3} + k^{2}

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

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Frequently Asked Questions (FAQ)

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