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Question
Simplify: (y3 − 5y2) ÷ y × (y − 1)
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Solution
(y3 − 5y2) ÷ y × (y − 1)
= (y3 ÷ y − 5y2 ÷ y) × (y − 1)
= (y(3-1) − 5y(2-1)) × (y − 1)
= (y2 − 5y1) × (y − 1)
= y2 × (y − 1) − 5y1 × (y − 1)
= y(2+1) − y2 − 5y(1+1) + 5y
= y3 − y2 − 5y2 + 5y
= y3 − 6y2 + 5y
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