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Question
Given possible expressions for the length and breadth of the rectangle having 35y2 + 13y – 12 as its area.
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Solution
Area = 35y2 +13y -12
Splitting the middle term,
Area = 35y2 + 28y -15y -12
= 7y (5y + 4) - 3(5y + 4)
Area = (5y + 4)(7 y - 3)
Also area of rectangle = Length x Breadth
∴ Possible length = (5y + 4) and breadth = (7y - 3)
Or Possible length = (7y - 3) and breadth = (5y + 4)
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