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

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

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simplify (2x-y)^2-(y+1)^2

simplify

(2 x - y)^{2} - (y + 1)^{2}

4 x^{2} - 4 x y - 2 y - 1

Solution steps

(2 x - y)^{2} - (y + 1)^{2}

Expand

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

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

Expand

- (y + 1)^{2} : - y^{2} - 2 y - 1

= 4 x^{2} - 4 x y + y^{2} - y^{2} - 2 y - 1

Add similar elements:

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

= 4 x^{2} - 4 x y - 2 y - 1

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

(k + 4)^{3}

- 2 + 7 x - 5 + 2 + (- 15) - 9

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

(w^{3})^{- 4}