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

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

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

simplify

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

4

Solution steps

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

Expand

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

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

Expand

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

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

Group like terms

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

Add similar elements:

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

= - x + x - 2 + 6

Add similar elements:

- x + x = 0

= - 2 + 6

Add the numbers:

- 2 + 6 = 4

= 4

x^{2} - 2 x + 1

(x + 8) (x + 2)

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

2 x (x - 3)

(z + 3) (z + 8)