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Question

If 8x26x9=(4x+a)(2x+b), the value of a and b respectively, are

A
3,3
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B
3,3
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C
3,3
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D
3,3
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Solution

The correct option is B 3,3
8x26x9
We have to find factors of 72 so that their sum is 6.
The factors are 12 and 6.

8x26x9 = 8x212x+6x9
=4x(2x3)+3(2x3)
=(2x3)(4x+3)

(2x3)(4x+3)=(2x+b)(4x+a)
a=3 and b=3

So, option D is correct.

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