What is expand (3a+2.5b)^2 ?

The solution to expand (3a+2.5b)^2 is 9a^2+15ab+6.25b^2

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expand (3a+2.5b)^2

expand

(3 a + 2.5 b)^{2}

9 a^{2} + 15 ab + 6.25 b^{2}

Solution steps

(3 a + 2.5 b)^{2}

Apply Perfect Square Formula:

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

(3 a + 2.5 b)^{2} = (3 a)^{2} + 2 \cdot 3 a \cdot 2.5 b + (2.5 b)^{2}

= (3 a)^{2} + 2 \cdot 3 a \cdot 2.5 b + (2.5 b)^{2}

Simplify

(3 a)^{2} + 2 \cdot 3 a \cdot 2.5 b + (2.5 b)^{2} : 9 a^{2} + 15 ab + 6.25 b^{2}

= 9 a^{2} + 15 ab + 6.25 b^{2}

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What is expand (3a+2.5b)^2 ?
The solution to expand (3a+2.5b)^2 is 9a^2+15ab+6.25b^2