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Popular >

expand (5x-4y)^2

Solution

expand

(5 x - 4 y)^{2}

Solution

25 x^{2} - 40 x y + 16 y^{2}

Solution steps

(5 x - 4 y)^{2}

Apply Perfect Square Formula:

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

(5 x - 4 y)^{2} = (5 x)^{2} - 2 \cdot 5 x \cdot 4 y + (4 y)^{2}

= (5 x)^{2} - 2 \cdot 5 x \cdot 4 y + (4 y)^{2}

Simplify

(5 x)^{2} - 2 \cdot 5 x \cdot 4 y + (4 y)^{2} : 25 x^{2} - 40 x y + 16 y^{2}

= 25 x^{2} - 40 x y + 16 y^{2}

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Frequently Asked Questions (FAQ)

What is expand (5x-4y)^2 ?
The solution to expand (5x-4y)^2 is 25x^2-40xy+16y^2