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Question

If the expression 4x2−64 can be written as
a(x−b)(x+b), find the value of a−b.

A
0
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B
1
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C
2
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D
3
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Solution

The correct option is A 0
Given expression:
4x264=4(x216)=4(x242)=4(x4)(x+4)

Comparing 4(x4)(x+4) with a(xb)(x+b)
we get a = 4 and b = 4.

So, value of ab is 44=0

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(x + a)(x +b)= x^2 + x(a+ b) + ab
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