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Popular >

factor (x-11)^3+8

Solution

factor

(x - 11)^{3} + 8

Solution

(x - 9) (x^{2} - 24 x + 147)

Solution steps

(x - 11)^{3} + 8

Rewrite

8

as

2^{3}

= (x - 11)^{3} + 2^{3}

Apply Sum of Cubes Formula:

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

(x - 11)^{3} + 2^{3} = ((x - 11) + 2) ((x - 11)^{2} - 2 (x - 11) + 2^{2})

= ((x - 11) + 2) ((x - 11)^{2} - 2 (x - 11) + 2^{2})

Refine

= (x - 9) ((x - 11)^{2} - 2 (x - 11) + 4)

Expand

(x - 11)^{2} - 2 (x - 11) + 4 : x^{2} - 24 x + 147

= (x - 9) (x^{2} - 24 x + 147)

Popular Examples

factor (x^2-3x-54)/(x-9)factor

\frac{x ^{2} - 3 x - 54}{x - 9}

factor 16u^8-8u^4+1 factor

16 u^{8} - 8 u^{4} + 1

factor x^2+3-2 factor

x^{2} + 3 - 2

factor x-y+xz-yz+xz^2-yz^2 factor

x - y + x z - yz + x z^{2} - y z^{2}

factor sqrt(8+2\sqrt{3)}factor

8 + 23

Frequently Asked Questions (FAQ)

What is factor (x-11)^3+8 ?
The solution to factor (x-11)^3+8 is (x-9)(x^2-24x+147)