What is expand 4(1/2 (x-y))^2+2(x+y)^2 ?

The solution to expand 4(1/2 (x-y))^2+2(x+y)^2 is 4(1/2 (x-y))^2+2x^2+4xy+2y^2

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expand 4(1/2 (x-y))^2+2(x+y)^2

expand

4 (\frac{1}{2} (x - y))^{2} + 2 (x + y)^{2}

4 (\frac{1}{2} (x - y))^{2} + 2 x^{2} + 4 x y + 2 y^{2}

Solution steps

4 (\frac{1}{2} (x - y))^{2} + 2 (x + y)^{2}

Expand

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

= 4 (\frac{1}{2} (x - 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}

= 4 (\frac{1}{2} (x - y))^{2} + 2 x^{2} + 2 \cdot 2 x y + 2 y^{2}

Multiply the numbers:

2 \cdot 2 = 4

= 4 (\frac{1}{2} (x - y))^{2} + 2 x^{2} + 4 x y + 2 y^{2}

sin (x) ln (x) (2 x - 1)

\frac{3}{( x - 3 ) ( x + 3 )}

\frac{( 2 x + 3 )}{( x ^{2} + x + 1 ) ^{2} ( x - 1 ) ^{3} ( x + 1 ) ^{2}}

lo g_{10} (4) x^{4}

(X - 1) (X - 2) (X - 3) (X - 4) (X - 5) (X - 6) (X - 7) (X - 8) (X - 9) (X - 10) (X - 11)

What is expand 4(1/2 (x-y))^2+2(x+y)^2 ?
The solution to expand 4(1/2 (x-y))^2+2(x+y)^2 is 4(1/2 (x-y))^2+2x^2+4xy+2y^2