What is expand 2(x+y)^2 ?

The solution to expand 2(x+y)^2 is 2x^2+4xy+2y^2

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expand 2(x+y)^2

expand

2 (x + y)^{2}

2 x^{2} + 4 x y + 2 y^{2}

Solution steps

2 (x + y)^{2}

Expand

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

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

Apply the distributive law:

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

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

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

Multiply the numbers:

2 \cdot 2 = 4

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

\frac{20}{11}

(9^{\frac{1}{2}})^{3}

\frac{6 !}{1 !}

(- 4) (4 - 25)

\frac{1}{5} \div 5