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

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

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simplify (x+2)(x+3)-(x+4)(x+1)

simplify

(x + 2) (x + 3) - (x + 4) (x + 1)

2

Solution steps

(x + 2) (x + 3) - (x + 4) (x + 1)

Expand

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

= x^{2} + 5 x + 6 - (x + 4) (x + 1)

Expand

- (x + 4) (x + 1) : - x^{2} - 5 x - 4

= x^{2} + 5 x + 6 - x^{2} - 5 x - 4

Group like terms

= x^{2} - x^{2} + 5 x - 5 x + 6 - 4

Add similar elements:

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

= 5 x - 5 x + 6 - 4

Add similar elements:

5 x - 5 x = 0

= 6 - 4

Subtract the numbers:

6 - 4 = 2

= 2

(- 2) - (- 2)

[\frac{3 ( 2 a ) ^{3}}{2}]^{2}

\frac{8 z ^{7} x}{12 x ^{5} y z ^{- 2}}

3 \frac{1}{2} \cdot 2 \frac{1}{3}