Question

what would x^2-16/x^2-4x be in simplest form or can someone explain how to do it

Answer 1

can you draw the equation please

Answer 2

\[ \frac{ x^2-16}{ x^2-4x }\]

Answer 3

okay let's break it down. how can you rewrite the numerator (top part) ?

Answer 4

(x+8)(x-8)

Answer 5

close, it's actually (x-4)(x+4)

Answer 6

now, how we can rewrite the denominator (bottom part)

Answer 7

(x-2)(x+2) but what about the extra x

Answer 8

not quite. simplify it like this:

x(x-4)

since x^2 - 4x both share an x, we're just going to take it out.

Answer 9

now, what does the whole expression look like numerator and denominator

Answer 10

(x+4)/x right?

Answer 11

good, so you cancelled out the (x-4)?

Answer 12

yes now its done right

Answer 13

(x+4) / x can be written as x/x + 4/x = 1 + 4/x

that's as far as you can simplify it

Answer 14

good i hate math and this packet is killing me :)

Answer 15

lol you did good though. keep it up!

Answer 16

hahah thank you