What is (x-1)x+(x^2-2x-4)(x+1) ?

The solution to (x-1)x+(x^2-2x-4)(x+1) is x^3-7x-4

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simplify (x-1)x+(x^2-2x-4)(x+1)

simplify

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

x^{3} - 7 x - 4

Solution steps

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

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

Expand

x (x - 1) : x^{2} - x

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

Expand

(x^{2} - 2 x - 4) (x + 1) : x^{3} - x^{2} - 6 x - 4

= x^{2} - x + x^{3} - x^{2} - 6 x - 4

Group like terms

= x^{3} + x^{2} - x^{2} - x - 6 x - 4

Add similar elements:

x^{2} - x^{2} = 0

= x^{3} - x - 6 x - 4

Add similar elements:

- x - 6 x = - 7 x

= x^{3} - 7 x - 4

5 y^{2} + 25 y + 30

3 (x - 2) + 1

\frac{x ^{- 4} x ^{- 5}}{y y ^{- 2}}

(27 x^{6} y^{12})^{\frac{1}{3}}

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