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Question

Divide m2+7m60 by (m5).


A

4(m - 6)

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B

2(m + 6)

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C

(m + 12)

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D

(m - 12)

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Solution

The correct option is C

(m + 12)


Given, the expression is
m2+7m60(m5).
Now, comparing the numerator with the identity x2+(a+b)x+ab
We note that,
(a+b)=7 and ab=60.
So,
12+(5)=7 and (12)(5)=60.
Hence,
m2+7m60=m2+12m5m60=m(m+12)5(m+12)=(m5)(m+12)
Therefore,
m2+7m60(m5)=(m5)(m+12)(m5)=(m+12)


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