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Question

Factors of 49p236 are:


A

(7p - 6) (7p + 6)

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B

(7p - 6) (7p - 6)

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C

(7p + 6) (7p + 6)

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D

(6p - 7) (7p - 6)

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Solution

The correct options are
A

(7p - 6) (7p + 6)


B

(7p - 6) (7p - 6)


The expression 49p236 can be written as

(7p)262....(i)

Comparing (i) with the identity a2b2=(a+b)(ab), we get

a2=(7p)2a=7p

b2=62b=6

49p236=(7p)2(6)2=(7p6)(7p+6)

Therefore, the factors of 49p236 are (7p+6) and (7p6).

This cannot be factorised into any further factors.


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