Вправи: 206

206. Спростіть вираз:

1) (1+aa2- ab – 1-bb2- ab) • a2b-ab2a+b = (1+aa(a-b) – 1-bb(b-a)) • ab(a-b)a+b = (1+a\ba(a-b) + 1-b\ab(a-b) • ab(a-b)a+b = b+ab+a-abab(a-b) • ab(a-b)a+b = a+bab(a-b) • ab(a-b)a+b • a+b•ab •(a-b)aba-b(a+b) = 1.

2) (3(x2y)3(3ac2)2)² • a3c415x3y4 = (3x6y39a2c4) • a3c415x3y4 = (x6y33a2c4) • a3c415x3y4 = x12y69a4c8 • a3c415x3y4 = x12y6• a3c49a4c8 • 15x3y4 = a3c4x12y6135a4c8x3y4 = x9y2135ac4.