Вправа 416 алгебра Бевз гдз 7 клас

№ 416

1. a) x(a – 2) + y(a – 2) = (a – 2)(x + y);
   б) (x + 1)² – 2x(x + 1) = (x + 1)(x + 1 – 2x) = (x + 1)(1 – x);
   в) 2y(y – 6)³ – 3y(y – 6)² = y(y – 6)²(2y – 12 – 3y) =
   = y(y – 6)²(–y – 12);
   г) 4(x – y) – 3a(y – x) = (x – y)(4 + 3a);
   ґ) 3(2x – 5) – 2x(5 – 2x) = (2x – 5)(3 + 2x);
   д) 6(m – n)² – m(n – m) = (m – n)(6m – 6n + m) =
   = (m – n)(7m – 6n);
   e) (4x – 3y)(x + 2y) + 2x(x + 2y) = (x + 2y)(4x – 3y + 2x) =
   = (x + 2y)(6x – 3y);
   є) (a + b)(x – y) + (b – a)(y – x) = (x – y)(a + b – b + a) =
   = 2a(x – y).