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Question

Factorize x33x29x5

A
(x+1)2(x5)
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B
(x1)2(x5)
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C
(x+1)(x+5)(x1)
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D
None of the above
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Solution

The correct option is A (x+1)2(x5)
The value of x33x29x5 is
x35x2+2x210x+x5
=x2(x5)+2x(x5)+1(x5)
=(x5)(x2+2x+1)
=(x5)(x+1)2x33x29x5
=x35x2+2x210x+x5
=x2(x5)+2x(x5)+1(x5)
=(x5)(x2+2x+1)
=(x5)(x+1)2

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