Mathematics
Give possible expressions for the length and the breadth of the rectangle whose area is
12x2 - 35x + 25.
Factorisation
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Answer
Given,
Area = 12x2 - 35x + 25
⇒ lb = 12x2 - 35x + 25
⇒ lb = 12x2 - 15x - 20x + 25
⇒ lb = 3x(4x - 5) - 5(4x - 5)
⇒ lb = (4x - 5)(3x - 5).
Hence, if length = (4x - 5) then breadth = (3x - 5) and if length = (3x - 5) then breadth = (4x - 5).
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