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 Difference 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})

sin^{- 5} (\frac{( 1 + x ^{2} )}{2})

8 r^{2} - 12 x^{2}

x^{7} \cdot y^{7} - x y

\frac{( y ^{3} - y ^{2} + y + 3 )}{( y + 1 )}

(\frac{p}{3} - \frac{q}{4})^{3}

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