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Question

Simplify: 49(x4−2x3−15x2)14x(x−5)

A
7(x+3)2x
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B
2x(x+3)7
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C
7x(x+3)2
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D
7(x+3)2
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Solution

The correct option is D 7x(x+3)2
Given, 49(x42x315x2)14x(x5)
=7x2(x22x15)2x(x5)
=7x[x25x+3x15]2(x5)
= 7x[x(x5)+3(x5)]2(x5)
=7x(x5)(x+3)2(x5)
= 7x(x+3)2

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