What is (x-2)^3+(x-2) ?

The solution to (x-2)^3+(x-2) is x^3-6x^2+13x-10

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simplify (x-2)^3+(x-2)

simplify

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

x^{3} - 6 x^{2} + 13 x - 10

Solution steps

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

Apply rule:

a + (b + c) = a + b + c

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

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

Expand

(x - 2)^{3} : x^{3} - 6 x^{2} + 12 x - 8

= x^{3} - 6 x^{2} + 12 x - 8 + x - 2

Group like terms

= x^{3} - 6 x^{2} + 12 x + x - 8 - 2

Add similar elements:

12 x + x = 13 x

= x^{3} - 6 x^{2} + 13 x - 8 - 2

Subtract the numbers:

- 8 - 2 = - 10

= x^{3} - 6 x^{2} + 13 x - 10

(- 3 + 6 i) (5 - 6 i)

632

(s + 2) (s + 3) (s + 7)

\frac{1}{9} \div \frac{8}{7}