Вправи: 227

227. Спростіть вираз:

1) 12x2ya4 • axy2 : 6x2a2y = 12x2ya4 • axy2 • a2y6x2 = 12x2y •a • a2ya4 •xy2 • 6x2 = 2a3x2y2a4x3y2 = 2ax;

2) x³y² : 15x4 • 5y3 = x3y21 • x415 • 5y3 = x3y2 • x4 •515 • y3 = 5x7y215y3 = x73y;

3) ab3x : 25b2a : a335x = ab3x • a25b2 • 35xa3 = ab3 •a •35xx • 25b2 • a3 = 35a2b3x25a3b2x = 7b5a;

4) 32(mn)² • (–10m3n) : (–15mn) = 32 • m2n2 • 10m3n : 15mn1 = 32 • m2n2 • 10m3n • 115mn = 3m2 •10m2n2 •3n •15mn = 30m390mn4 = m23n4