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Question

Factorise:
5x216x21


Solution

We have:
5x216x21

We have to split (-16) into two numbers such that their sum is ( -16) and their product is (-105), i.e., 5×21.

Clearly, 

21+5=16 and 21×5=105

5x216x21=5x2+5x21x21=5x(x+1)21(x+1)=(x+15)(x21)

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