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Popular >

expand (5a+3b)^2

Solution

expand

(5 a + 3 b)^{2}

Solution

25 a^{2} + 30 ab + 9 b^{2}

Solution steps

(5 a + 3 b)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

= 25 a^{2} + 30 ab + 9 b^{2}

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Frequently Asked Questions (FAQ)

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