What is the answer to solvefor x,(2x+2y)(x-y)=2x(x-y)+2y(x+y) ?

The answer to solvefor x,(2x+2y)(x-y)=2x(x-y)+2y(x+y) is True for all x;\quad 0=4y^2

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solvefor x,(2x+2y)(x-y)=2x(x-y)+2y(x+y)

solve for

x, (2 x + 2 y) (x - y) = 2 x (x - y) + 2 y (x + y)

True for all x; 0 = 4 y^{2}

Solution steps

(2 x + 2 y) (x - y) = 2 x (x - y) + 2 y (x + y)

Expand

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

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

Expand

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

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

Add similar elements:

- 2 x y + 2 x y = 0

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

Expand

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

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

Move

2 y^{2}

to the right side

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

Move

2 x^{2}

to the left side

0 = 4 y^{2}

Both sides are equal

True for all x; 0 = 4 y^{2}

e = 32 g h

x, 2^{y + 1} = x + 1

- 6 x + 2 = 0

- (x + 7) = - 6 x + 8

36 t - 19 t - 12 t - t = 52

What is the answer to solvefor x,(2x+2y)(x-y)=2x(x-y)+2y(x+y) ?
The answer to solvefor x,(2x+2y)(x-y)=2x(x-y)+2y(x+y) is True for all x;\quad 0=4y^2