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1. Descompuneţi în factori:
a) ax + by + bx+ay;
b) ac+ad-bc-bd;
c) am-an-bm+bn;
d) ab-ac-bc+c²;
e) x²+x'y-2xy-2y³;
f)-x³+2y³+x²y-2xy²;
h)x+x6-7x-7x;
i) 4x - y +4-xy;
g)x-y+xy-1; j) ax + ay +5b-bx-by-
DAU COROANĂ


Răspuns :

a) x(a+b) +y(a+b)=(a+b)(x+y)

b) a(c+d) -b(c+d)=(c+d)(a-b)

c) a(m-n) -b(m-n)=(m-n)(a-b)

d) a(b-c) -c(b-c)=(b-c)(a-c)

e) x(x+y) -2y(x+y)=(x+y)(x-2y)

f) x²(-x+y) -2y²(y-x)=(y-x)(x²-2y²)

h) -7x

i) 4(x+1) -y(1+x)=(x+1)(4-y)

g) x(1+y) -(1+y)=(1+y)(x-1)

j) a(x+y) -b(x+y) +5b=(x+y)(a-b) +5b