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Popular >

factor (x+2)^3+125

Solution

factor

(x + 2)^{3} + 125

Solution

(x + 7) (x^{2} - x + 19)

Solution steps

(x + 2)^{3} + 125

Rewrite

125

as

5^{3}

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

Apply Sum of Cubes Formula:

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

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

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

Refine

= (x + 7) ((x + 2)^{2} - 5 (x + 2) + 25)

Expand

(x + 2)^{2} - 5 (x + 2) + 25 : x^{2} - x + 19

= (x + 7) (x^{2} - x + 19)

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Frequently Asked Questions (FAQ)

What is factor (x+2)^3+125 ?
The solution to factor (x+2)^3+125 is (x+7)(x^2-x+19)