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Popular >

expand (3v+2d)^2

Solution

expand

(3 v + 2 d)^{2}

Solution

9 v^{2} + 12 v d + 4 d^{2}

Solution steps

(3 v + 2 d)^{2}

Apply Perfect Square Formula:

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

(3 v + 2 d)^{2} = (3 v)^{2} + 2 \cdot 3 v \cdot 2 d + (2 d)^{2}

= (3 v)^{2} + 2 \cdot 3 v \cdot 2 d + (2 d)^{2}

Simplify

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

= 9 v^{2} + 12 v d + 4 d^{2}

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Frequently Asked Questions (FAQ)

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