What is (x^2-y^2)-[(x+y)(x-y)]+3x^2 ?

The solution to (x^2-y^2)-[(x+y)(x-y)]+3x^2 is 3x^2

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simplify (x^2-y^2)-[(x+y)(x-y)]+3x^2

simplify

(x^{2} - y^{2}) - [(x + y) (x - y)] + 3 x^{2}

3 x^{2}

Solution steps

(x^{2} - y^{2}) - ((x + y) (x - y)) + 3 x^{2}

Simplify

(x^{2} - y^{2}) - ((x + y) (x - y)) + 3 x^{2} : x^{2} - y^{2} - (x + y) (x - y) + 3 x^{2}

= x^{2} - y^{2} - (x + y) (x - y) + 3 x^{2}

Group like terms

= x^{2} + 3 x^{2} - y^{2} - (x + y) (x - y)

Add similar elements:

x^{2} + 3 x^{2} = 4 x^{2}

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

Expand

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

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

Group like terms

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

Add similar elements:

4 x^{2} - x^{2} = 3 x^{2}

= 3 x^{2} - y^{2} + y^{2}

Add similar elements:

- y^{2} + y^{2} = 0

= 3 x^{2}

2 x - 1 < 5

(2^{- 5} \cdot 2^{7})^{- 3}

18 x + 9

\frac{x}{8} + 12 = 16

\frac{3 x + 4}{3} - \frac{( x - 2 )}{5} = \frac{2 - x}{15} - \frac{1}{3}

What is (x^2-y^2)-[(x+y)(x-y)]+3x^2 ?
The solution to (x^2-y^2)-[(x+y)(x-y)]+3x^2 is 3x^2