Номер 402

1) (a + 5)2 = (a + 5)(a + 5) = a2 + 5a + 5a + 25 = a2 + 10a + 25;

2) (4 – 3b)2 = (4 – 3b)(4 – 3b) = 16 – 12b – 12b + 9b2 = 16 – 24b + 9b2;

3) (a + b + c)2 = (a + b + c)(a + b + c) = a2 + ab + ac + ab + b2 + bc + ac + bc + c2 = a2 + b2 + c2 + 2ab + 2bc + 2ac;

4) (ab)3 = (ab)(ab)(ab) = (a2abab + b2)(ab) = (a2 – 2ab + b2)(ab) = a3a2b – 2a2b + 2ab2 + ab2b3 = a3 – 3a2b + 3ab2b3.


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