Question 204652: x² + 5x + 4
-----------
(x + 3)²
divided by
x + 1
------
x² - 9
Multiply and express the product in simplest form. Found 2 solutions by lazi, Edwin McCravy:Answer by lazi(15) (Show Source):
You can put this solution on YOUR website! x^2 + 5x + 4 = (x+1)(x+4)
x^2 - 9 = (x-3)(x+3)
{[(x+1)(x+4)]/(x+3)^2} divided by {(x+1)/[(x-3)(x+3)]}
1/4 divided by 1/8 = 1/4 multiply by 8/1
{[(x+1)(x+4)]/(x+3)^2} multiply by {[(x-3)(x+3)]/(x+1)}
[(x+1)(x+4)(x-3)(x+3)]/[(x+3)(x+3)(x+1)]
now it's just simply cross out the same one from top and bottom.
answer: [(x+4)(x-3)]/(x+3)
Invert the 2nd fraction and change to
Factor as
Factor as
Write as
Put parentheses around as
Indicate the multiplication of the numerators and denominators
to write as a single fraction:
Cancel the 's
Cancel the in the top with one of the 's
in the bottom:
and we are left with this:
You can leave it like that or you can "FOIL" out the top:
Edwin
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