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Popular >

expand 2(x+2y)^2

Solution

expand

2 (x + 2 y)^{2}

Solution

2 x^{2} + 8 x y + 8 y^{2}

Solution steps

2 (x + 2 y)^{2}

Expand

(x + 2 y)^{2} : x^{2} + 4 x y + 4 y^{2}

= 2 (x^{2} + 4 x y + 4 y^{2})

Apply the distributive law:

m (a + b + c) = ma + mb + m c

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

= 2 x^{2} + 2 \cdot 4 x y + 2 \cdot 4 y^{2}

Simplify

2 x^{2} + 2 \cdot 4 x y + 2 \cdot 4 y^{2} : 2 x^{2} + 8 x y + 8 y^{2}

= 2 x^{2} + 8 x y + 8 y^{2}

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Frequently Asked Questions (FAQ)

What is expand 2(x+2y)^2 ?
The solution to expand 2(x+2y)^2 is 2x^2+8xy+8y^2