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Question

Factorise m2+7m−60−16n2


A

(m+3+4n)(m+34n)

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B

(m+34n)(m+34n)

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C

(m3+4n)(m34n)

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D

(m+2+4n)(m+24n)

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Solution

The correct option is A

(m+3+4n)(m+34n)


Given that m2+6m+916n2

m2+6m+9=(m+3)2

16n2=(4n)2

Hence using difference of squaresx2y2=(x+y)(xy)

Hence x=(m+3) and y=4n

= (m+3+4n)(m+34n)


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