What is (x-1)^2-x(x+1)(x-3) ?

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

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simplify (x-1)^2-x(x+1)(x-3)

simplify

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

- x^{3} + 3 x^{2} + x + 1

Solution steps

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

Expand

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

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

Expand

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

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

Group like terms

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

Add similar elements:

x^{2} + 2 x^{2} = 3 x^{2}

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

Add similar elements:

- 2 x + 3 x = x

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

2^{x - 1} + 2^{x - 2}

\frac{1}{4 ( 16 ) ^{\frac{3}{4}}}

x^{3} - 25 x^{2} + 150 x - 252

\frac{2}{2 + 1} - 22

72 x^{6} y^{3}

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