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Question

Divide the following and write your answer in lowest terms: x236x249÷x+6x+7

A
x6x7
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B
x+6x7
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C
x6x+7
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D
None of these
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Solution

The correct option is A x6x7
The given expression x236x249÷x+6x+7can be simplified as shown below:

=x236x249÷x+6x+7

=x236x249×x+7x+6

=x262x272×x+7x+6

=(x6)(x+6)(x7)(x+7)×x+7x+6(a2b2=(ab)(a+b))

=(x6)(x+6)(x+7)(x7)(x+7)(x+6)

=x6x7

Hence, x236x249÷x+6x+7=x6x7.

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