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Popular >

factor (x+3)^3+8x^3

Solution

factor

(x + 3)^{3} + 8 x^{3}

Solution

9 (x + 1) (x^{2} + 3)

Solution steps

(x + 3)^{3} + 8 x^{3}

Rewrite

(x + 3)^{3} + 8 x^{3}

as

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

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

Apply Sum of Cubes Formula:

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

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

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

Refine

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

Factor

3 x + 3 : 3 (x + 1)

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

Factor

4 x^{2} - 2 x (x + 3) + (x + 3)^{2} : 3 (x^{2} + 3)

= 3 (x + 1) \cdot 3 (x^{2} + 3)

Refine

= 9 (x + 1) (x^{2} + 3)

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Frequently Asked Questions (FAQ)

What is factor (x+3)^3+8x^3 ?
The solution to factor (x+3)^3+8x^3 is 9(x+1)(x^2+3)