Asked by chanda
_4y_____ _ ___3y________
y^2+6y+5 y^2+5y+4
y^2+6y+5 y^2+5y+4
Answers
Answered by
bark
write the q again
Answered by
Reiny
As you can see from the appearance above it, it is very hard to line up fractions in this format.
However, your presentation is much better than what we normally encounter.
4y/(y^2 + 6y + 5) - 3y/(y^2 + 5y + 4)
= 4y/((y+1)(y+5)) - 3y/((y+1)(y+4))
= (4y(y+4) - 3y(y+5))/((y+1)(y+4)(y+5))
= (4y^2 + 16 - 3y^2 - 15)/((y+1)(y+4)(y+5))
= (y^2 + 1)/((y+1)(y+4)(y+5))
However, your presentation is much better than what we normally encounter.
4y/(y^2 + 6y + 5) - 3y/(y^2 + 5y + 4)
= 4y/((y+1)(y+5)) - 3y/((y+1)(y+4))
= (4y(y+4) - 3y(y+5))/((y+1)(y+4)(y+5))
= (4y^2 + 16 - 3y^2 - 15)/((y+1)(y+4)(y+5))
= (y^2 + 1)/((y+1)(y+4)(y+5))
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