What is factor a^3b^3-y^3 ?

The solution to factor a^3b^3-y^3 is (ab-y)(a^2b^2+aby+y^2)

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factor a^3b^3-y^3

factor

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

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

Solution steps

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

Rewrite

a^{3} b^{3}

(ab)^{3}

= (ab)^{3} - y^{3}

Apply Difference of Cubes Formula:

x^{3} - y^{3} = (x - y) (x^{2} + x y + y^{2})

(ab)^{3} - y^{3} = (ab - y) ((ab)^{2} + y ab + y^{2})

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

Simplify

(ab - y) ((ab)^{2} + y ab + y^{2}) : (ab - y) (a^{2} b^{2} + ab y + y^{2})

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

x^{8} - 3 x^{4} - 18

6 x^{2} b + 42 x^{2} - y^{2} b - 7 y^{2}

(sinh (x))^{2}

f (x) (g (x)) g^{'} (x)

3 a - 2 b - 2 b x^{4} + 3 a x^{4}

What is factor a^3b^3-y^3 ?
The solution to factor a^3b^3-y^3 is (ab-y)(a^2b^2+aby+y^2)