What is factor (x-y)^4-4(x-y)^2 ?

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

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factor (x-y)^4-4(x-y)^2

factor

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

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

Solution steps

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

Factor out common term

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

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

Factor

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

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

\frac{x ^{2} + 7 x + 10}{x + 5}

(4 a + 8) (- 4 a + 8)

\frac{- 2}{( 4 + i )}

- 56 + 50

What is factor (x-y)^4-4(x-y)^2 ?
The solution to factor (x-y)^4-4(x-y)^2 is (x-y)^2(x-y+2)(x-y-2)