Вправи: 102

102. Скоротіть дріб:

1) x4-x2 x4+ x3 = x2(x2-1)x3(x+2) = x-1(x+1)x(x+1) = x-1x;

2) y3-16y4y2+ y3 = y(y2-16y2(4+ y) = y(y-4)(y+4)y2(y+4) = y-4y;

3) a2- 9b22a+6b = (a-3b)(a+3b)2(a+3b) = a-3b2;

4) 4x4-x2 6x+3 = x2(4x2-1)3(2x+1) = x22x-1(2x+1)3(2x+1) = x2(2x-1)3;

5) a3-25ab2 ab-5b2 = a(a2-25b2) b(a-5b) = aa-5b+a+5b)b(a-5b) = a(a+5b)b;

6) 4a3- 9ac22ac+3c2 = a(4a2-9c2) c(2a+3c) = a(2a-3c)(2a+3c) c(2a+3c) = a(2a-3c)c.