Question

Разложите на множители 1)a+b+c(a+b) 2)m-n+p(m-n) 3)x+3a(x+y)+y 4)x+2a(x-y)-y

Answer 1

Ответ:

Смотри решение на фото..

Answer 2

1) a+b+c(a+b) = a+b+ac+bc = a(1+c) + b(1+c) = (a+b)(1+c)

2) m-n+p(m-n) = m-n+pm-pn = m(1+p) - n(1-p) = (m-n)(1+p)

3) x+3a(x+y)+y+4)x+2a(x-y)-y = x+3ax+3ay+y+4x+8a(x-y)-y = 4x + 3ax + 3ay + 8ax - 8ay + y = (4x + 3ax + 8ax) + (3ay - 8ay) + (y) = (12x + 3ax) + (-5ay) + (y) = 3x(4+a) - 5ay + y = 3x(4+a) + (-5a+1)y = 3x(4+a) + (-5a+1)y