Question

What is the simplified form of the quantity y−squared plus 7y plus 12 over the quantity y−squared minus 2y minus 15?

Answer 1

Answer:

It cannot be simplified any further.

Answer 2

The simplified form of the quantity y−squared plus 7y plus 12 over the quantity y−squared minus 2y minus 15 is (y-4)/(y-5) .

Simplifying the equation

(y^2-y+12)/(y^2-2y-15)  factor both the numerator and denominator...

(y^2-4y-3y+12)/(y^2-5y+3y-15)

(y(y-4)-3(y-4))/(y(y-5)+3(y-5))

((y-4)(y-3))/((y-5)(y+3))  so the (y+3) and (y-3) cancel leaving

(y-4)/(y-5)

(y-4)/(y-5) the simplified form of the quantity y−squared plus 7y plus 12 over the quantity y−squared minus 2y minus 15.

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