Exercise
$15\frac{1}{r-x}-\frac{2}{2+x}$
Step-by-step Solution
Learn how to solve combining like terms problems step by step online. Simplify 151/(r-x)+-2/(2+x). Combine 15\left(\frac{1}{r-x}\right)+\frac{-2}{2+x} in a single fraction. Combine -2+\frac{15\left(2+x\right)}{r-x} in a single fraction. Divide fractions \frac{\frac{15\left(2+x\right)-2\left(r-x\right)}{r-x}}{2+x} with Keep, Change, Flip: \frac{a}{b}\div c=\frac{a}{b}\div\frac{c}{1}=\frac{a}{b}\times\frac{1}{c}=\frac{a}{b\cdot c}. Multiply the single term 15 by each term of the polynomial \left(2+x\right).
Simplify 151/(r-x)+-2/(2+x)
Final answer to the exercise
$\frac{30+17x-2r}{\left(r-x\right)\left(2+x\right)}$