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(1 - x - x2 + x3)6
= (1 - x)6(1 - x2)6
= (6C0 - 6C1 x + ... + 6C6 x6)(6C0 - 6C1 x2 + ... + 6C6 x12)
Now, coefficient of x7 is = 6C1 6C3 - 6C3 6C2+ 6C5 6C1
= – 144
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Arun (askIITians forum expert)
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