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Popular >

factor (x-1)^3-27

Solution

factor

(x - 1)^{3} - 27

Solution

(x - 4) (x^{2} + x + 7)

Solution steps

(x - 1)^{3} - 27

Rewrite

27

as

3^{3}

= (x - 1)^{3} - 3^{3}

Apply Difference of Cubes Formula:

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

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

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

Refine

= (x - 4) ((x - 1)^{2} + 3 (x - 1) + 9)

Expand

(x - 1)^{2} + 3 (x - 1) + 9 : x^{2} + x + 7

= (x - 4) (x^{2} + x + 7)

Popular Examples

factor (3x-6x^3)+2 factor

(3 x - 6 x^{3}) + 2

factor x^2-13/6 x+1 factor

x^{2} - \frac{13}{6} x + 1

factor 4^{n+2}+2^{2n+2}factor

4^{n + 2} + 2^{2 n + 2}

factor e^2+10e+16 factor

e^{2} + 10 e + 16

factor 160pix^2-480pix+360pi factor

160 π x^{2} - 480 π x + 360 π

Frequently Asked Questions (FAQ)

What is factor (x-1)^3-27 ?
The solution to factor (x-1)^3-27 is (x-4)(x^2+x+7)