What is (x+2)(x-7)-(x+6)(x-11) ?

The solution to (x+2)(x-7)-(x+6)(x-11) is 52

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simplify (x+2)(x-7)-(x+6)(x-11)

simplify

(x + 2) (x - 7) - (x + 6) (x - 11)

52

Solution steps

(x + 2) (x - 7) - (x + 6) (x - 11)

Expand

(x + 2) (x - 7) : x^{2} - 5 x - 14

= x^{2} - 5 x - 14 - (x + 6) (x - 11)

Expand

- (x + 6) (x - 11) : - x^{2} + 5 x + 66

= x^{2} - 5 x - 14 - x^{2} + 5 x + 66

Group like terms

= x^{2} - x^{2} - 5 x + 5 x - 14 + 66

Add similar elements:

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

= - 5 x + 5 x - 14 + 66

Add similar elements:

- 5 x + 5 x = 0

= - 14 + 66

66 - 14 = 52

= 52

\frac{2}{3} \cdot 100

tan (θ) + \frac{1}{tan ( θ )}

\frac{2 e ^{- x}}{e ^{x}}

\frac{x}{7 x + x ^{2}}

x^{4} + x^{3} - 24