What is 5(x+2)-(x+1)(x+4)-6x ?

The solution to 5(x+2)-(x+1)(x+4)-6x is -x^2-6x+6

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simplify 5(x+2)-(x+1)(x+4)-6x

simplify

5 (x + 2) - (x + 1) (x + 4) - 6 x

- x^{2} - 6 x + 6

Solution steps

5 (x + 2) - (x + 1) (x + 4) - 6 x

Expand

5 (x + 2) : 5 x + 10

= 5 x + 10 - (x + 1) (x + 4) - 6 x

Expand

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

= 5 x + 10 - x^{2} - 5 x - 4 - 6 x

Group like terms

= - x^{2} + 5 x - 5 x - 6 x + 10 - 4

Add similar elements:

5 x - 5 x - 6 x = - 6 x

= - x^{2} - 6 x + 10 - 4

Subtract the numbers:

10 - 4 = 6

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

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\frac{( tan ( x ) + cot ( x ) )}{csc ( x )}

What is 5(x+2)-(x+1)(x+4)-6x ?
The solution to 5(x+2)-(x+1)(x+4)-6x is -x^2-6x+6