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Popular >

expand (3b+5d)^2

Solution

expand

(3 b + 5 d)^{2}

Solution

9 b^{2} + 30 b d + 25 d^{2}

Solution steps

(3 b + 5 d)^{2}

Apply Perfect Square Formula:

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

(3 b + 5 d)^{2} = (3 b)^{2} + 2 \cdot 3 b \cdot 5 d + (5 d)^{2}

= (3 b)^{2} + 2 \cdot 3 b \cdot 5 d + (5 d)^{2}

Simplify

(3 b)^{2} + 2 \cdot 3 b \cdot 5 d + (5 d)^{2} : 9 b^{2} + 30 b d + 25 d^{2}

= 9 b^{2} + 30 b d + 25 d^{2}

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Frequently Asked Questions (FAQ)

What is expand (3b+5d)^2 ?
The solution to expand (3b+5d)^2 is 9b^2+30bd+25d^2