Question

Descompuneţi, grupand convenabil termenii:
a) a(x+y)+bx+by
b) 21x²-7xy+11(3x-y)
c) 3x+6y+mx+2my
d) 12mx-4my²+15ax-5ay²
e) a²+b²+6a²x+6b²x
f) 2m+n²2+2mx²+n²x²

(explicatii)

Answer 1

a) =a(x+y)+b(x+y)=(x+y)(a+b)
b) =7x(3x-y)+11(3x-y)=(3x-y)(7x+11)
c) =x(3+m)+2y(3+m)=(3+m)(x+2y)
d) =4m(3x-y²)+5a(3x-y²)=(3x-y²)(4m+5a)
e) =(a²+b²)+6x(a²+b²)=(a²+b²)(1+6x)
f) =2m(1+x²)+n²(1+x²)=(1+x²)(2m+n²)