Simplify rational expressions

Learn with an example

34/2h+12 = ___________

Simplify. First factorise, and then cancel the common factors.

34/2h+12

34/2(h+6) Factorise out the GCF of the denominator, which is 2

17/h+6 Simplify

4w2 -9w / 4w-9 = __________

Simplify. First factorise, and then cancel the common factors.

4w2 -9w / 4w-9

w(4w-9)/4w-9 Factorise out the GCF of the numerator, which is w

w(4w-9)/4w-9 Cancel the common factors

w/1 Simplify

w Simplify

8m/28m-40 = ________

Simplify. First factorise, and then cancel the common factors.

8m/28m-40

8m/4(7m-10) Factorise out the GCF of the denominator, which is 4

2m/7m-10 Simplify

Let’s practice!