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Popular >

factor (x+3)^3-8

Solution

factor

(x + 3)^{3} - 8

Solution

(x + 1) (x^{2} + 8 x + 19)

Solution steps

(x + 3)^{3} - 8

Rewrite

8

as

2^{3}

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

Apply Difference of Cubes Formula:

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

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

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

Refine

= (x + 1) ((x + 3)^{2} + 2 (x + 3) + 4)

Expand

(x + 3)^{2} + 2 (x + 3) + 4 : x^{2} + 8 x + 19

= (x + 1) (x^{2} + 8 x + 19)

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Frequently Asked Questions (FAQ)

What is factor (x+3)^3-8 ?
The solution to factor (x+3)^3-8 is (x+1)(x^2+8x+19)