What is factor x^3+125y^3 ?

The solution to factor x^3+125y^3 is (x+5y)(x^2-5xy+25y^2)

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factor x^3+125y^3

factor

x^{3} + 125 y^{3}

(x + 5 y) (x^{2} - 5 x y + 25 y^{2})

Solution steps

x^{3} + 125 y^{3}

Apply exponent rules

= x^{3} + (5 y)^{3}

Apply Sum of Cubes Formula:

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

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

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

Simplify

x^{2} - x \cdot 5 y + (5 y)^{2} : x^{2} - 5 x y + 25 y^{2}

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

- \frac{1}{2} x^{2} = - 6 x + 20

(3 x^{\frac{1}{2}}) (4 x^{\frac{2}{3}})

- 4 x + 3 = - 5

\frac{10}{12} \cdot \frac{6}{10}

- 2 y + 3 (4 - y) = 12 - 5 y

What is factor x^3+125y^3 ?
The solution to factor x^3+125y^3 is (x+5y)(x^2-5xy+25y^2)