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AnilSinghBora
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Give possible expressions for the length and breadth of each of the following rectangles, in which their areas are given: (ii) Area : 35y2+13y–12 Q.15(2)

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Hello sir i want to know the best solution of the question from exercise 2.5 of math of Polynomials chapter of class 9th give me the best and easy for solving this question how i solve it of question no.15(2) Give possible expressions for the length and breadth of each of the following rectangles, in which their areas are given: (ii) Area : 35y2+13y–12

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  1. Area : 35y2+13y–12

    Using the splitting the middle term method,

    We have to find a number whose sum = 13 and product = 35×-12 = 420

    We get -15 and 28 as the numbers [-15+28 = 13 and -15×28=420]

    35y2+13y–12 = 35y2–15y+28y–12

    = 5y(7y–3)+4(7y–3)

    = (5y+4)(7y–3)

    Possible expression for length  = (5y+4)

    Possible expression for breadth  = (7y–3)

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