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

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

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

simplify

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

- 4

Solution steps

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

Expand

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

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

Expand

- (x + 2) (x + 3) : - x^{2} - 5 x - 6

= x^{2} + 3 x + 2 - x^{2} - 5 x - 6 + 2 x

Group like terms

= x^{2} - x^{2} + 3 x - 5 x + 2 x + 2 - 6

Add similar elements:

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

= 3 x - 5 x + 2 x + 2 - 6

Add similar elements:

3 x - 5 x + 2 x = 0

= 2 - 6

Subtract the numbers:

2 - 6 = - 4

= - 4

\frac{( x ^{2} - 9 x y - 10 y ^{2} )}{( x + y )}

\frac{( x ^{2} - 1 )}{( x + 1 )}

\frac{5 !}{3 !} \cdot 0. 7^{3} \cdot 0. 3^{2}

(x^{- 2} y^{- 4} z^{3})^{- 2}

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

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