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Popular >

expand (4x+5y)^2

Solution

expand

(4 x + 5 y)^{2}

Solution

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

Solution steps

(4 x + 5 y)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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