Вправи: 241

241. Спростіть вираз.

a) x2- 9y2a2+8ab+ 16b2 • a2-16b2 3y- x = x-3yx+3y•(a-4b)(a+4b)a+4b2(3y- x) = -(x+3y)(a-4b)(a+4b) = (x+3y)(4b- a)(a+4b(;

б) x2+6x+92x-4 • x2-43x+9 = (x+3)2•(x-2)(x+2)2x-2•3(x+3) = (x+3)(x+2)6;

в) 2x-6x2+2xy+y2 • x2- y2x2-3x = 2(x-3)(x+ y)2 • (x- y)(x+ y)x(x-3) = 2(x- y)x(x+ y);

г) x2-10x+256x+3y • 2xy+y2 25- x2 = (x-5)2• y(2x+ y)32x+ y•(5- x)(5+ ) = (5- x)y3(5+ x).