What is factor x^3-125a^6 ?

The solution to factor x^3-125a^6 is (x-5a^2)(25a^4+x^2+5xa^2)

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factor x^3-125a^6

factor

x^{3} - 125 a^{6}

(x - 5 a^{2}) (25 a^{4} + x^{2} + 5 x a^{2})

Solution steps

x^{3} - 125 a^{6}

Apply exponent rules

= x^{3} - (5 a^{2})^{3}

Apply Difference of Cubes Formula:

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

x^{3} - (5 a^{2})^{3} = (x - 5 a^{2}) (x^{2} + x \cdot 5 a^{2} + (5 a^{2})^{2})

= (x - 5 a^{2}) (x^{2} + x \cdot 5 a^{2} + (5 a^{2})^{2})

Simplify

x^{2} + x \cdot 5 a^{2} + (5 a^{2})^{2} : x^{2} + 5 x a^{2} + 25 a^{4}

= (x - 5 a^{2}) (x^{2} + 5 x a^{2} + 25 a^{4})

= (x - 5 a^{2}) (25 a^{4} + x^{2} + 5 x a^{2})

(x + 2)^{2} + (y - 1)^{2}

\frac{2}{5} + \frac{5}{7}

\frac{3 ( h ^{- 5} ) ^{4}}{6 h ^{6}}

5 x - 3 x^{2} + 16 x^{2}

21 - 5 + 7

What is factor x^3-125a^6 ?
The solution to factor x^3-125a^6 is (x-5a^2)(25a^4+x^2+5xa^2)