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Popular >

factor 64+(3x+2)^3

Solution

factor

64 + (3 x + 2)^{3}

Solution

9 (x + 2) (3 x^{2} + 4)

Solution steps

64 + (3 x + 2)^{3}

Rewrite

64

as

4^{3}

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

Apply Sum of Cubes Formula:

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

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

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

Refine

= (3 x + 6) ((3 x + 2)^{2} - 4 (3 x + 2) + 16)

Factor

3 x + 6 : 3 (x + 2)

= 3 (x + 2) ((3 x + 2)^{2} - 4 (3 x + 2) + 16)

Factor

(3 x + 2)^{2} - 4 (3 x + 2) + 16 : 3 (3 x^{2} + 4)

= 3 (x + 2) \cdot 3 (3 x^{2} + 4)

Refine

= 9 (x + 2) (3 x^{2} + 4)

Popular Examples

factor m^3n^3x^3+1 factor

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1 - 2 cos (2 x) + cos^{2} (2 x)

factor (2)e^2 factor

(2) e^{2}

factor 2x(3-2x)'+4(x-1)'factor

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

[- 15.15]

Frequently Asked Questions (FAQ)

What is factor 64+(3x+2)^3 ?
The solution to factor 64+(3x+2)^3 is 9(x+2)(3x^2+4)