Question

Simplify by factorising first

Answer 1

Answer:

x+8

Step-by-step explanation:

Simplify the numerator

list the factors of 16

16: 1, 2, 4, 8, 16

look for two factors that add up to the b value

in this case it is 18

by looking at the factors 2 and 8 add up 10

so you can rewrite the numerator as $x^{2}+2x+8x+16$

Split the trinomial into two separate binomials each having one of the factors that add up to 10

So it should be $x^{2} +2x and 8x+16$

Factor both binomials

you can factor an x from the first one

Then it is x(x+2)

Factor an 8 from the second one

8(x+2)

So it should be $x(x+2) 8(x+2)$

This can rewritten as (x+8)(x+2)

So now you have $\frac{(x+2)(x+8)}{x+2)}$

simplify it by canceling out the two (x+2)'s

this is because (x+2)/(x+2) is 1

Finally you get x+8