Question 5(i)
Factorise the expressions and divide them as directed
$(y^{2} + 7 y + 10) \div (y + 5)$

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Solution

$(y^{2} + 7 y + 10) = y^{2} + 2 y + 5 y + 10 = y (y + 2) + 5 (y + 2) = (y + 2) (y + 5) = (y^{2} + 7 y + 10) \div (y + 5) = \frac{(y + 5) (y + 2)}{(y + 5)} = y + 2$

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