Question

Scrie sub forma de produs:
a) 2x(x-y) + (3y(x-y)
b) x(x+1) - 2(x+1)
c) x(x-1)² - 2x(x-1)
d) a²(a+b) + b²(a+b)
e) (a-2)x-(a-2)y+a-2
f) (3x-2y)(2x+5y)-(x-3y)(2x+5y)

Answer 1

a) 2x(x-y) + 3y(x-y)= (x-y)(2x+3y)
b) x(x+1) - 2(x+1)=(x+1)(x - 2)
c) x(x-1)² - 2x(x-1)=x(x-1)(x-1- 2)=x(x-1)(x-3)
d) a²(a+b) + b²(a+b)=(a+b)(a² + b²)
e) (a-2)x-(a-2)y+a-2 =(a-2)(x-y+1)
 f) (3x-2y)(2x+5y)-(x-3y)(2x+5y) = (2x+5y)(3x-2y-x+3y)=(2x+5y)(2x+y)