How do you multiply and simplify \frac { y ^ { 2} - 9} { 6y - 18} \cdot \frac { y + 5} { y + 3}?

1 Answer
May 5, 2017

=(y+5)/6

Explanation:

(y^2-9)/(6y-18).(y+5)/(y+3)
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=((y)^2-3^2)/(6(y-3)).(y+5)/(y+3)
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=((y-3)(y+3))/(6(y-3)).(y+5)/(y+3)
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=(color(blue)cancel((y-3))color(brown)cancel((y+3)))/(6color(blue)cancel((y-3))).(y+5)/color(brown)cancel((y+3))
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=1/6.(y+5)/1
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=(y+5)/6