Give possible expressions for the length and breadth of the rectangle having 35y²+13y-12 as its area.
Answers
Given: The possible expressions for the length and breadth of the rectangle having its area : 35 y² + 13y - 12
Since the area is the product of length & breadth therefore by factorizing the given area by middle term splitting, we can know the length and breadth of the rectangle :
35 y² + 13y – 12
By middle term splitting :
= 35y² -15y + 28y - 12
= 5y(7y - 3)+ 4(7y - 3)
= (5y + 4)(7y – 3)
Hence, possible expression for length = (5y + 4) and Possible expression for breadth = (7y – 3)
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Answer:
35 y² + 13y – 12
= 35y² -15y + 28y - 12
= 5y(7y - 3)+ 4(7y - 3)
= (5y + 4)(7y – 3)
Hence,
possible expression for length = (5y + 4) and Possible expression for breadth = (7y – 3)