Suppose we want to factorise
x 2 + 7x + 12
We factorise it by splitting the middle term
x 2 + 7x + 12
= x 2 + 4x + 3x + 12
= x(x + 4) + 3(x + 4)
= (x + 3) (x + 4)
So, x 2 + 7x + 12 = (x + 3) (x + 4)
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