What is factor (x+y)^3-(x+y)^4z ?

The solution to factor (x+y)^3-(x+y)^4z is (x+y)^3(1-xz-yz)

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factor (x+y)^3-(x+y)^4z

factor

(x + y)^{3} - (x + y)^{4} z

(x + y)^{3} (1 - x z - yz)

Solution steps

(x + y)^{3} - (x + y)^{4} z

Factor out common term

(x + y)^{3} : (x + y)^{3} (1 - (x + y) z)

= (x + y)^{3} (1 - (x + y) z)

Expand

1 - (x + y) z : 1 - x z - yz

= (x + y)^{3} (1 - x z - yz)

\frac{9}{6} - \frac{4}{3}

10 x^{3} + 22 x^{2} - 24 x

\frac{3 + 5}{2 - 5}

(r^{2} + 6 r + 5) (5 r^{2} + r - 5)

What is factor (x+y)^3-(x+y)^4z ?
The solution to factor (x+y)^3-(x+y)^4z is (x+y)^3(1-xz-yz)