Length and Breadth of Rectangle Having Area 35y² + 13y – 12

Give possible expressions for the length and breadth of rectangle having area : \(35y^2 + 13y – 12\)

\[ 35y^2 + 13y – 12 \] \[ = 35y^2 + 28y – 15y – 12 \] \[ = 7y(5y + 4) – 3(5y + 4) \] \[ = (5y + 4)(7y – 3) \] \[ \therefore \] \[ \text{Possible Length} = 5y + 4 \] \[ \text{Possible Breadth} = 7y – 3 \]

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