Question

Scoateți factor comun:
a)3a-3b;
b)3x^2+3;
c)9a-6b;
d)12a^2+9;
e)3a^2-6ab+9;
f)4x-6y;
g)10a+5b+25;
h)xy+xy^2-3x;
i)x^2y+xy^2;
j)2a^2b+3ab^2-5a^3b;
k)4a+8a^2b-12ab^3;
l)a(x+1)+b(x+1)+c(x+1);
m)ab(x-1)-b^2(x-1);
n)2(x+3)-5(x+3);
o)3x(1-x)+4(1-x);
p)x^3y^2-2xy^5+x^2y;
q)(2x-5)(x+7)+(2x-5)(5x-3).​

Answer 1

Răspuns:

a) 3a-3b=3(a-b)

b) 3x^2+3=3(x^2+1)

c)9a-6b=3(3a-2b)

d)12a^2+9=3(4a^2+3)

e) 3a^2-6ab+9 =3(a^2-2ab +3)

f) 4x-6y=2(2x-3y)

g) 10a +5b+25=5 (2a+b+5)

h) xy+xy^2-3x = x(y+y^2-3)

i) x^2y+xy^2=x^2(x^y+y^2)

Answer 2

Răspuns:

a. 3(a-b)

b.3(x^2+1)

c.3(3a-2b)

d.3(4^2a+3)

e.3(a^2-2ab+3)

f.2(2x-3y)

g.5(2a+b+5)

h.x(y+y^2-3)

j.ab(2^2+3^2-5^3)

i.xy(^2+^2)

k.4a(8b^2-12b^3)

l.(x+1)(a+b+c)

m.(x-1)(ab-b^2)

n.(x+3)(2-5)

o.(1-x)(3x+4)

p.xy(^6-2^5+^2)

q. (2x-5)(x+7+5x-3)

Explicație pas cu pas: