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Popular >

expand (3n+2)^2

Solution

expand

(3 n + 2)^{2}

Solution

9 n^{2} + 12 n + 4

Solution steps

(3 n + 2)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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