17×2-7x+67×2+14x

Factor 7x out of 7×2-7x.

Factor 7x out of 7×2.

17x(x)-7x+67×2+14x

Factor 7x out of -7x.

17x(x)+7x(-1)+67×2+14x

Factor 7x out of 7x(x)+7x(-1).

17x(x-1)+67×2+14x

17x(x-1)+67×2+14x

Factor 7x out of 7×2+14x.

Factor 7x out of 7×2.

17x(x-1)+67x(x)+14x

Factor 7x out of 14x.

17x(x-1)+67x(x)+7x(2)

Factor 7x out of 7x(x)+7x(2).

17x(x-1)+67x(x+2)

17x(x-1)+67x(x+2)

17x(x-1)+67x(x+2)

To write 17x(x-1) as a fraction with a common denominator, multiply by x+2x+2.

17x(x-1)⋅x+2x+2+67x(x+2)

To write 67x(x+2) as a fraction with a common denominator, multiply by x-1x-1.

17x(x-1)⋅x+2x+2+67x(x+2)⋅x-1x-1

Multiply 17x(x-1) and x+2x+2.

x+27x(x-1)(x+2)+67x(x+2)⋅x-1x-1

Multiply 67x(x+2) and x-1x-1.

x+27x(x-1)(x+2)+6(x-1)7x(x+2)(x-1)

Reorder the factors of 7x(x-1)(x+2).

x+27x(x+2)(x-1)+6(x-1)7x(x+2)(x-1)

x+27x(x+2)(x-1)+6(x-1)7x(x+2)(x-1)

Combine the numerators over the common denominator.

x+2+6(x-1)7x(x+2)(x-1)

Apply the distributive property.

x+2+6x+6⋅-17x(x+2)(x-1)

Multiply 6 by -1.

x+2+6x-67x(x+2)(x-1)

Add x and 6x.

7x+2-67x(x+2)(x-1)

Subtract 6 from 2.

7x-47x(x+2)(x-1)

7x-47x(x+2)(x-1)

Add 1/(7x^2-7x)+6/(7x^2+14x)