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

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

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factor 125x^3+y^3

factor

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

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

Solution steps

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

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

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

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

Simplify

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

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

9 x^{2} y^{4} - z^{6}

13 \cdot 6

(625 a^{8})^{\frac{3}{4}}

9 (x^{2} - 3) + 4 = - 7

- 1 = 2 x^{2} - x - 1

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