What is factor ay^3-y^3b-8b+8a ?

The solution to factor ay^3-y^3b-8b+8a is (y^2+4-2y)(2+y)(a-b)

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factor ay^3-y^3b-8b+8a

factor

a y^{3} - y^{3} b - 8 b + 8 a

(y^{2} + 4 - 2 y) (2 + y) (a - b)

Solution steps

a y^{3} - y^{3} b - 8 b + 8 a

Factor out common term

a

= a (y^{3} + 8) - y^{3} b - 8 b

Factor

y^{3} + 8 : (y + 2) (y^{2} - 2 y + 4)

= - b y^{3} + a (y + 2) (y^{2} - 2 y + 4) - 8 b

Factor out common term

b

= a (2 + y) (y^{2} + 4 - 2 y) - b (y^{3} + 8)

Factor

y^{3} + 8 : (y + 2) (y^{2} - 2 y + 4)

= a (y + 2) (y^{2} - 2 y + 4) - b (y + 2) (y^{2} - 2 y + 4)

Factor out common term

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

= (y^{2} + 4 - 2 y) (2 + y) (a - b)

(A + B) + C

x^{3} y^{6} - z^{3}

8 e^{4} + 2 e^{6}

d [r \frac{d T}{d r}] - r d r

What is factor ay^3-y^3b-8b+8a ?
The solution to factor ay^3-y^3b-8b+8a is (y^2+4-2y)(2+y)(a-b)