MEDAL & FAN!!
Simplify the following expression, explain your steps.
y = (x^2+3x-4)/(x^2+5x+4)

Question

MEDAL & FAN!!
Simplify the following expression, explain your steps.
y = (x^2+3x-4)/(x^2+5x+4)

anonymous · Answer

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kendricklamar2014 · Answer

@Wendy.Ivette11714

haleyelizabeth2017 · Answer

y = (x^2+3x-4)/(x^2+5x+4)

We need to factor these first...
$x^2+3x-4=(x+4)(x-1)$
$x^2+5x+4=(x+4)(x+1)$$$y=\frac{(x+4)(x-1)}{(x+4)(x+1)}$$There is one factor on top and bottom that can cancel out, do you know what one?

anonymous · Answer

Im not sure, would it be (x+4)?

anonymous · Answer

since its the same on the top n bottom

haleyelizabeth2017 · Answer

Yeah, so we are left with what?

anonymous · Answer

y = (x-1) / (x+1)

haleyelizabeth2017 · Answer

Yep!  You got it!

anonymous · Answer

Thank you sm!

haleyelizabeth2017 · Answer

LOL you're welcome