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Question

Give possible expressions for the length and breadth of the rectangle whose area is given as 16a2-32a+15 sq. units.

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Solution

Given: Area =16a2-32a+15 sq. units.

now,
16a
2-32a+15

=16a2-12a-20a+15

=4a(4a-3)-5(4a-3)

=(4a-5)(4a-3)

therefore,

possible length = 4a-5

and

possible breadth= 4a-3


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