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

Math
6x+2+7x-1
To write 6x+2 as a fraction with a common denominator, multiply by x-1x-1.
6x+2⋅x-1x-1+7x-1
To write 7x-1 as a fraction with a common denominator, multiply by x+2x+2.
6x+2⋅x-1x-1+7x-1⋅x+2x+2
Write each expression with a common denominator of (x+2)(x-1), by multiplying each by an appropriate factor of 1.
Tap for more steps…
Multiply 6x+2 and x-1x-1.
6(x-1)(x+2)(x-1)+7x-1⋅x+2x+2
Multiply 7x-1 and x+2x+2.
6(x-1)(x+2)(x-1)+7(x+2)(x-1)(x+2)
Reorder the factors of (x-1)(x+2).
6(x-1)(x+2)(x-1)+7(x+2)(x+2)(x-1)
6(x-1)(x+2)(x-1)+7(x+2)(x+2)(x-1)
Combine the numerators over the common denominator.
6(x-1)+7(x+2)(x+2)(x-1)
Simplify the numerator.
Tap for more steps…
Apply the distributive property.
6x+6⋅-1+7(x+2)(x+2)(x-1)
Multiply 6 by -1.
6x-6+7(x+2)(x+2)(x-1)
Apply the distributive property.
6x-6+7x+7⋅2(x+2)(x-1)
Multiply 7 by 2.
6x-6+7x+14(x+2)(x-1)
Add 6x and 7x.
13x-6+14(x+2)(x-1)
Add -6 and 14.
13x+8(x+2)(x-1)
13x+8(x+2)(x-1)
Simplify 6/(x+2)+7/(x-1)

Download our
App from the store

Create a High Performed UI/UX Design from a Silicon Valley.

Scroll to top