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

The solution to (x+2)(x-1)-(x-1)(x-3) is 5x-5

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

simplify

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

5 x - 5

Solution steps

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

Expand

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

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

Expand

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

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

Group like terms

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

Add similar elements:

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

= x + 4 x - 2 - 3

Add similar elements:

x + 4 x = 5 x

= 5 x - 2 - 3

Subtract the numbers:

- 2 - 3 = - 5

= 5 x - 5

5 \frac{π}{3}

\frac{3}{7} \cdot 14

- x^{2} + 10 x - 25

(\frac{3 x ^{2}}{y})^{- 2}

12 - 75 u^{6}