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Factorization Of Algebraic Expressions — Maths STD 9 — Question

Maharashtra BoardEnglish MediumSTD 9MathsFactorization Of Algebraic Expressions2 Marks
Question
Give the possible expression for the length & breadth of the rectangle having $35y^2 - 13y - 12$ as its area.
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Answer

Area is given as $35y^2 - 13y - 12$ Splitting the middle term,
Area = $35y^2+ 218y - 15y - 12$
$= 7y(5y + 4) - 3(5y + 4)$
$= (5y + 4)(7y - 3)$
We also know that area of rectangle = length \times breadth
$\therefore$ Possible length =$(5y + 4)$ and breadth = $(7y - 3)$ Or
possible length = $(7y - 3)$ and breadth = $(5y + 4)$

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