What is factor (x+y)(x+z)-(y+w)(z+w) ?

The solution to factor (x+y)(x+z)-(y+w)(z+w) is x^2+xz+xy-yw-zw-w^2

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factor (x+y)(x+z)-(y+w)(z+w)

factor

(x + y) (x + z) - (y + w) (z + w)

x^{2} + x z + x y - y w - z w - w^{2}

Solution steps

(x + y) (x + z) - (y + w) (z + w)

Expand

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

= x^{2} + x z + x y + yz - (y + w) (z + w)

Expand

- (y + w) (z + w) : - yz - y w - z w - w^{2}

= x^{2} + x z + x y + yz - yz - y w - z w - w^{2}

Add similar elements:

yz - yz = 0

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

z^{2} + 4 i z + 5

x^{2} + 25 - 169

(a + b) (2 x + (a + b)) + x^{2}

x 4 + 2 x 3 + 4 x 2 + 3 x + 2

x + 1^{2}

What is factor (x+y)(x+z)-(y+w)(z+w) ?
The solution to factor (x+y)(x+z)-(y+w)(z+w) is x^2+xz+xy-yw-zw-w^2