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Popular >

expand (2a^2+3b)^2

Solution

expand

(2 a^{2} + 3 b)^{2}

Solution

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

Solution steps

(2 a^{2} + 3 b)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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