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Popular >

expand (4a-5b)^2

Solution

expand

(4 a - 5 b)^{2}

Solution

16 a^{2} - 40 ab + 25 b^{2}

Solution steps

(4 a - 5 b)^{2}

Apply Perfect Square Formula:

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

(4 a - 5 b)^{2} = (4 a)^{2} - 2 \cdot 4 a \cdot 5 b + (5 b)^{2}

= (4 a)^{2} - 2 \cdot 4 a \cdot 5 b + (5 b)^{2}

Simplify

(4 a)^{2} - 2 \cdot 4 a \cdot 5 b + (5 b)^{2} : 16 a^{2} - 40 ab + 25 b^{2}

= 16 a^{2} - 40 ab + 25 b^{2}

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Frequently Asked Questions (FAQ)

What is expand (4a-5b)^2 ?
The solution to expand (4a-5b)^2 is 16a^2-40ab+25b^2