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Popular >

expand (2k+1)^2

Solution

expand

(2 k + 1)^{2}

Solution

4 k^{2} + 4 k + 1

Solution steps

(2 k + 1)^{2}

Apply Perfect Square Formula:

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

(2 k + 1)^{2} = (2 k)^{2} + 2 \cdot 2 k \cdot 1 + 1^{2}

= (2 k)^{2} + 2 \cdot 2 k \cdot 1 + 1^{2}

Simplify

(2 k)^{2} + 2 \cdot 2 k \cdot 1 + 1^{2} : 4 k^{2} + 4 k + 1

= 4 k^{2} + 4 k + 1

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Frequently Asked Questions (FAQ)

What is expand (2k+1)^2 ?
The solution to expand (2k+1)^2 is 4k^2+4k+1