👤

Descompuneti in factori:
a)(x+5)(2x-1)^2-16(x+5)
b)(3x-1)^2-4(x+1)^2
c)(4x-3)^2-9(x+2)^2
VA ROG
REZOLVARI COMPLETE


Răspuns :

a)(x+5)(2x-1)^2-16(x+5)=(x+5)[(2x-1)^2-16]=(x+5)[(2x-1+4)(2x-1-4)]=(x+5)(2x+3)(2x-5)

b)(3x-1)^2-4(x+1)^2=[(3x-1)+2(x+1)][(3x-1)-2(x+1)]=(3x-1+2x+2)(3x-1-2x-2)=(5x+1)(x-3)

c)(4x-3)^2-9(x+2)^2=[(4x-3)+3(x+2)][(4x-3)-3(x+2)]=(4x-3+3x+6)(4x-3-3x-6)=(7x+3)(x-9)