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Popular >

expand (2n+3)^2

Solution

expand

(2 n + 3)^{2}

Solution

4 n^{2} + 12 n + 9

Solution steps

(2 n + 3)^{2}

Apply Perfect Square Formula:

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

(2 n + 3)^{2} = (2 n)^{2} + 2 \cdot 2 n \cdot 3 + 3^{2}

= (2 n)^{2} + 2 \cdot 2 n \cdot 3 + 3^{2}

Simplify

(2 n)^{2} + 2 \cdot 2 n \cdot 3 + 3^{2} : 4 n^{2} + 12 n + 9

= 4 n^{2} + 12 n + 9

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Frequently Asked Questions (FAQ)

What is expand (2n+3)^2 ?
The solution to expand (2n+3)^2 is 4n^2+12n+9