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Popular >

expand (2b+3c)^2

Solution

expand

(2 b + 3 c)^{2}

Solution

4 b^{2} + 12 b c + 9 c^{2}

Solution steps

(2 b + 3 c)^{2}

Apply Perfect Square Formula:

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

(2 b + 3 c)^{2} = (2 b)^{2} + 2 \cdot 2 b \cdot 3 c + (3 c)^{2}

= (2 b)^{2} + 2 \cdot 2 b \cdot 3 c + (3 c)^{2}

Simplify

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

= 4 b^{2} + 12 b c + 9 c^{2}

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Frequently Asked Questions (FAQ)

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