What is factor x^3+1000y^3 ?

The solution to factor x^3+1000y^3 is (x+10y)(x^2-10xy+100y^2)

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factor x^3+1000y^3

factor

x^{3} + 1000 y^{3}

(x + 10 y) (x^{2} - 10 x y + 100 y^{2})

Solution steps

x^{3} + 1000 y^{3}

Apply exponent rules

= x^{3} + (10 y)^{3}

Apply Sum of Cubes Formula:

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

x^{3} + (10 y)^{3} = (x + 10 y) (x^{2} - x \cdot 10 y + (10 y)^{2})

= (x + 10 y) (x^{2} - x \cdot 10 y + (10 y)^{2})

Simplify

x^{2} - x \cdot 10 y + (10 y)^{2} : x^{2} - 10 x y + 100 y^{2}

= (x + 10 y) (x^{2} - 10 x y + 100 y^{2})

\frac{1}{( x ^{4} + y ^{2} )}

12 x^{3} + 4 x^{2} - 3 x - 1

3 a^{2} - 12 b^{2}

5 x^{2} \cdot y^{2} + 6 x^{2} \cdot y

[\frac{x - 2}{3 y}]^{3}

What is factor x^3+1000y^3 ?
The solution to factor x^3+1000y^3 is (x+10y)(x^2-10xy+100y^2)