Question

4/x+1 - 4x/3x
simplify Please

Answer 1

is x+1 all in the denominator?

Answer 2

yea
so is 3x

Answer 3

\[\frac{4}{x+1}-\frac{4}{3}*\frac{x+1}{x+1}\]

Answer 4

the LCD is 3x(x+1)

so this will become, (4(3x)-4x(x+1))/3x(x+1)

12x-4x^2-4x/3x(x+1)

-4x^2+8x/3x(x+1)
x(-4x+8)/3x(x+1)
(-4x+8)/3(x+1)

Answer 5

multiply first fraction by 3/3

Answer 6

pat we don't need the x

Answer 7

since x/x=1 assuming x isnt zero

Answer 8

yeah, but i just included it to the LCD, do not worry, the answer will be the same.

Answer 9

i know lol just more work

Answer 10

thankyou!

Answer 11

yeah, lol

Answer 12

its for my algebra 2 exam