anonymous
  • anonymous
m^2 + 2m - 3/m^2 +4m -5 x m^2 - 3m - 10/m^2 + 5m + 6 i got -3m/10m
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
m^2 + 2m - 3/m^2 +4m -5 times m^2 - 3m - 10/m^2 + 5m + 6 i got -3m/10m
anonymous
  • anonymous
no i don't think that is correct
anonymous
  • anonymous
neither do i :p

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anonymous
  • anonymous
after factoring numerator is \[(m-1)(m+3)(m-5)(m+2)\]
anonymous
  • anonymous
denominator is \[(m+5)(m-1)(m+3)(m+2)\]
anonymous
  • anonymous
oh i didnt factor :|
anonymous
  • anonymous
gotta factor and cancel.
anonymous
  • anonymous
common factor are m-1, m+3, m+2
anonymous
  • anonymous
can you help me with one more?
anonymous
  • anonymous
10-5x/3 divided by x-2/12x short one
anonymous
  • anonymous
leaving \[\frac{m-5}{m+5}\]
anonymous
  • anonymous
\[\frac{10-5x}{3}\div\frac{x-2}{12x}\]?
anonymous
  • anonymous
exactly
anonymous
  • anonymous
just like with regular fraction invert and multiply
anonymous
  • anonymous
i got 120x-60x^2/3x-6
anonymous
  • anonymous
\[\frac{10-5x}{3}\times \frac{12x}{x-2}\]
anonymous
  • anonymous
cancel first, multiply last
anonymous
  • anonymous
what do i cancel out?
anonymous
  • anonymous
\[\frac{5(x-2)\times 12x}{3(x-2)}\]
anonymous
  • anonymous
cancel the 3 and the x - 2
anonymous
  • anonymous
leaving you with \[5\times 4x=20x\]
anonymous
  • anonymous
oopsssssssssss
anonymous
  • anonymous
wrong sorry
anonymous
  • anonymous
sorry give me a second i factored incorrectly
anonymous
  • anonymous
cancel the x-2 not the 3
anonymous
  • anonymous
hold on
anonymous
  • anonymous
\[\frac{10-5x}{3}\times \frac{12x}{x-2}=\frac{5(2-x)\times 12x}{3(x-2)}\]
anonymous
  • anonymous
i factored incorrectly at first. sorry.
anonymous
  • anonymous
now 3 goes in to 12 4 times so you can cancel the 3 and replace the 12 by a 4
anonymous
  • anonymous
yea i saw that but i didnt know cus ur the one with the ansers :p
anonymous
  • anonymous
and finally \[\frac{2-x}{x-2}=-1\]
anonymous
  • anonymous
hope that is clear
anonymous
  • anonymous
so you can cancel the 2-x and the x-2 but make sure to change the sign, because it is -1 and not 1
anonymous
  • anonymous
whered the 5 go?
anonymous
  • anonymous
still up there. so you get \[-20x\]
anonymous
  • anonymous
ohk thanks
anonymous
  • anonymous
\[5\times 5x\times -1=-20x\]
anonymous
  • anonymous
typo
anonymous
  • anonymous
\[5\times 4x\times -1=-20x\]
anonymous
  • anonymous
so its -20x/x-2?
anonymous
  • anonymous
nope
anonymous
  • anonymous
x-2 in denominator canceled with 2-x in numerator to give -1
anonymous
  • anonymous
so there is no denominator at all.
anonymous
  • anonymous
just -20x
anonymous
  • anonymous
oh.
anonymous
  • anonymous
okay thank you
anonymous
  • anonymous
is it clear that \[\frac{2-x}{x-2}=-1\]?
anonymous
  • anonymous
i dont see why it turned into -1
anonymous
  • anonymous
the top is the negative of the bottom
anonymous
  • anonymous
try it with numbers:\[\frac{2-5}{5-2}=-1\]
anonymous
  • anonymous
ah. i get it now
anonymous
  • anonymous
\[\frac{2-10}{10-2}=-1\]
anonymous
  • anonymous
-3/3 = -1
anonymous
  • anonymous
-8/8=-1
anonymous
  • anonymous
a good trick to know\[\frac{a-b}{b-a}=-1\]
anonymous
  • anonymous
ok well im gettin off now thank you
anonymous
  • anonymous
yes the top is the negative of the bottom that is why you can cancel
anonymous
  • anonymous
welcome

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