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Popular >

factor x^3+1000

Solution

factor

x^{3} + 1000

Solution

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

Solution steps

x^{3} + 1000

Rewrite

1000

as

1 0^{3}

= x^{3} + 1 0^{3}

Apply Sum of Cubes Formula:

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

x^{3} + 1 0^{3} = (x + 10) (x^{2} - 10 x + 1 0^{2})

= (x + 10) (x^{2} - 10 x + 1 0^{2})

1 0^{2} = 100

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

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Frequently Asked Questions (FAQ)

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