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

The solution to (x+5)(x-7)-x(x+1) is -3x-35

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

simplify

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

- 3 x - 35

Solution steps

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

Expand

(x + 5) (x - 7) : x^{2} - 2 x - 35

= x^{2} - 2 x - 35 - x (x + 1)

Expand

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

= x^{2} - 2 x - 35 - x^{2} - x

Group like terms

= x^{2} - x^{2} - 2 x - x - 35

Add similar elements:

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

= - 2 x - x - 35

Add similar elements:

- 2 x - x = - 3 x

= - 3 x - 35

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