What is (x+5)(x+3)-(x+7)(x+1) ?

The solution to (x+5)(x+3)-(x+7)(x+1) is 8

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simplify (x+5)(x+3)-(x+7)(x+1)

simplify

(x + 5) (x + 3) - (x + 7) (x + 1)

8

Solution steps

(x + 5) (x + 3) - (x + 7) (x + 1)

Expand

(x + 5) (x + 3) : x^{2} + 8 x + 15

= x^{2} + 8 x + 15 - (x + 7) (x + 1)

Expand

- (x + 7) (x + 1) : - x^{2} - 8 x - 7

= x^{2} + 8 x + 15 - x^{2} - 8 x - 7

Group like terms

= x^{2} - x^{2} + 8 x - 8 x + 15 - 7

Add similar elements:

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

= 8 x - 8 x + 15 - 7

Add similar elements:

8 x - 8 x = 0

= 15 - 7

Subtract the numbers:

15 - 7 = 8

= 8

1 - cos (2 x)

16 x^{8} y^{13} z^{10}

(\frac{5}{10})^{- 2}

0.1 e^{0.1}

2 π (12)^{2}