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ANEK [815]
3 years ago
13

Multiply r^2+7r+10/3 by 3 r-30/r^2-5r-50

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
4 0
R² + 7 r + 10 = r² + 2 r + 5 r + 10 = r ( r + 2 ) + 5 ( r + 2 ) = ( r + 2 ) ( r + 5 )
r² - 5 r - 50 = r² - 10 r + 5 r - 50 = r ( r - 10 ) + 5 ( r - 10 ) = ( r - 10 ) ( r + 5 )
\frac{r^{2} +7r+10}{3}* \frac{3r-30}{r ^{2}-5r-50 }= \\  \frac{(r+5)(r+2)}{3}* \frac{3(r-10)}{(r-10)(r+5)} = ( after cancellation ) = r + 2
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