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Factorisation — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSFactorisation2 Marks
Question
Give possible expressions for the length and the breadth of the rectangle whose area is $12x^2- 35x + 25$
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Answer

$12x^2- 35x + 25$
$= 12x^2- 20x - 15x + 25$
$= 4x(3x - 5) - 5(3x - 5)$
$= (3x - 5)(4x - 5)$
Thus, Length $= (3x - 5)$ and breadth $= (4x - 5)$
OR Length $= (4x - 5)$ and breadth $= (3x - 5)$

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