Question

Descompuneti in factori, grupand convenabil termenii:
a) 2x+2y+ax+ay
d)3x+3y-ax-ay
g)x³+x²-9x-9
2.Descompuneti in factori, mai intai scotand factorul comun:
a) x³-16x
e)12ax²-12a
i) x⁴-36x²
VA ROG MULT, CAT SE POATE!

Answer 1

a)2(x+y)+a(x+y)=(x+y)(2+a)
d)3(x+y)-a(x+y)=(x+y)(3-a)
g)x^2(x+1)-9(x+1)=(x+1)(x^2-9)=(x+1)(x-3)(x+3)

a)x(x^2-16)=x(x-4)(x+4)
e)12a(x^2-1)=12a(x-1)(x+1)
i)x^2(x^2-36)=x^2(x-6)(x+6)

Answer 2

a) 2x+2y+ax+ay=2(x+y)+a(x+y)=(x+y)(2+a)

d)3x+3y-ax-ay =x(3-a)+y(3-a)=(x+y)(3-a)

g)x³+x²-9x-9=x²(x+1) -9(x+1)=(x²-9)(x+1)

2.Descompuneti in factori, mai intai scotand factorul comun:

a) x³-16x=x(x²-16)=x(x-4)(x+4)

e)12ax²-12a=12a(x²-1)=12a(x+1)(x-1)

i) x⁴-36x²=x²(x²-36)=x²(x+6)(x-6)