What is (x+4)(x+2)-(x+1)(x+5) ?

The solution to (x+4)(x+2)-(x+1)(x+5) is 3

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simplify (x+4)(x+2)-(x+1)(x+5)

simplify

(x + 4) (x + 2) - (x + 1) (x + 5)

3

Solution steps

(x + 4) (x + 2) - (x + 1) (x + 5)

Expand

(x + 4) (x + 2) : x^{2} + 6 x + 8

= x^{2} + 6 x + 8 - (x + 1) (x + 5)

Expand

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

= x^{2} + 6 x + 8 - x^{2} - 6 x - 5

Group like terms

= x^{2} - x^{2} + 6 x - 6 x + 8 - 5

Add similar elements:

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

= 6 x - 6 x + 8 - 5

Add similar elements:

6 x - 6 x = 0

= 8 - 5

Subtract the numbers:

8 - 5 = 3

= 3

3 729 x^{18}

3 x^{2} y + 2 x^{2} - 12 y - 8

\frac{1}{x + 4} - \frac{1}{4}

\frac{1}{7} - \frac{2}{5}

(3 x + 4)^{6}