What is factor a^3b^3-125 ?

The solution to factor a^3b^3-125 is (ab-5)(a^2b^2+5ab+25)

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factor a^3b^3-125

factor

a^{3} b^{3} - 125

(ab - 5) (a^{2} b^{2} + 5 ab + 25)

Solution steps

a^{3} b^{3} - 125

Apply exponent rules

= (ab)^{3} - 5^{3}

Apply Difference of Cubes Formula:

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

(ab)^{3} - 5^{3} = (ab - 5) ((ab)^{2} + 5 ab + 5^{2})

= (ab - 5) ((ab)^{2} + 5 ab + 5^{2})

Simplify

(ab)^{2} + 5 ab + 5^{2} : a^{2} b^{2} + 5 ab + 25

= (ab - 5) (a^{2} b^{2} + 5 ab + 25)

(3 h^{6} - 4)^{2}

- 9 - - 16

\frac{1}{7} - \frac{1}{42}

10 0^{2} + 5 0^{2}

n^{2} + 8 n + 15

What is factor a^3b^3-125 ?
The solution to factor a^3b^3-125 is (ab-5)(a^2b^2+5ab+25)