Question

Преобразуйте в многочлены выражения:
1)(-5a-3b)²(-5a+3b)
2)(-7a-6b)²(-7a+6b)
3)(-3a-7b)²(-3a+7b)
4)(a-6b)²(a+6b)

Answer 1

1)(-5a-3b)²(-5a+3b)=(-5a-3b)(-5a+3b)(-5a-3b)=[(5a+3b)(-5a+3b)](5a+3b)=
=(9b²-25a²)(5a+3b)=45ab²+27b³-125a³-75a²b
2)(-7a-6b)²(-7a+6b)=(7a+6b)²(-7a+6b)=[(7a+6b)(-7a+6b)](7a+6b)=
=(36b²-49a²)(7a+6b)=252ab²+216b³-343a³-294a²b
3)(-3a-7b)²(-3a+7b)=(3a+7b)²(-3a+7b)=[(3a+7b)(-3a+7b)](3a+7b)=
=(49b²-9a²)(3a+7b)=147ab²+343b³-27a³-63a²b
4)(a-6b)²(a+6b)=[(a-6b)(a+6b)](a-6b)=(a²-36b²)(a-6b)=
=a³-6a²b-36ab²+216b³