Вправи: 429

429. Спростіть вираз:

1) 16m2(4m-1)(4m+1) – 8m16m2-1 – 1(1-4m)(1+4m) = 16m2(4m-1)(4m+1) – 8m(4m-1)(4m+1) + 1(4m-1)(4m+1) = 16m2-8m+1(4m-1)(4m+1) = (4m-1)2(4m-1)(4m+1) = 4m-14m+1;

2) 8x-9(2x+1)2 – 8x3+3x-1(1+2x)2 – 5x-71+4x2+4x = 8x-9(2x+1)2 – 8x3+3x-1(2x+1)2 – 5x-7(2x+1)2 = 8x-9-8x3-3x+1-5x+7(2x+1)2 = -8x3-1(2x+1)2 = –(2x+1)(4x2-2x+1)(2x+1)2 = 2x-4x2-12x+1.