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Question

Factorise: 7y2+49y+84

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Solution

The given expression 7y2+49y+84 can be factorised as follows:

7y2+49y+84=7(y2+7y+12)=7(y2+4y+3y+12)=7[y(y+4)+3(y+4)]=7(y+3)(y+4)

Hence, 7y2+49y+84=7(y+3)(y+4)

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