Вправи: 439

439. Подай вираз у вигляді добутку.

a) 2x + 2y + ax + ay = (2x + 2y) + (ax + ay) = 2(x + y) + a(x + y) = (x + y)(2 + a);

б) xa – xb + ca – cb = (xa – xb) + (ca – cb) = x(a – b) + c(a – b) = (a – b)(x + c);

в) 2a – 2b + ca – cb = (2a – 2b) + (ca – cb) = 2(a – b) + c(a – b) = (a – b)(2 + c);

г) mx + ny + mx + my = (nx + ny) + (mx + my) = n(x + y) + m(x + y) = (x + y)(n + m);

ґ) ax – bx – ay + by = (ax – bx) – (ay – by) = x(a – b) – y(a – b) = (a – b)(x – y);

д) mx + my – cx – cy = (mx + my) – (cx + cy) = m(x + y) – c(x + y) = (x + y)(m – c)

е) 2x + 2y – ax – ay = (2x + 2y) – (ax + ay) = 2(x + y) – a(x + y) = (x + y)(2 – a);

є) ap – ak – p + k = (ap – ak) – (p – k) = a(p – k) – (p – k) = (p – k)(a – 1);