Question

Descompuneri în factori
a)(X+1)(X+3)²-4(X+1)=
b)(X+5)(2x-1)²-16(X+5)=
c)(x-3)(X+2)²-x+3=
d)(x-4)(2x+1)²-x+4=
e)(X+7)²-25=
f)(x-5)²-36=
g)(x-6)²9x²=
H)(X+2)²-16x²=
Va rog până mâine îmi trebuie urgent!!

Answer 1

a)(x+1)(x+3)²-4(x+1)= (x+1)(x²+6x+9-4)=(x+1)[(x+3)²-4]=(x+1)(x+3-2)(x+3+2)=

=(x+1)(x+1)(x+5)=(x+1)²(x+5)

b)(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-5)(2x+3)

c)(x-3)(x+2)²-x+3= (x-3)(x+2)²-(x-3)=(x-3)[(x+2)²-1] =(x-3)(x+2-1)(x+2+1) =

=(x-3)(x+1)(x+3)

d)(x-4)(2x+1)²-x+4= (x-4)(2x+1)²-(x-4)= (x-4)[(2x+1)²-1]=  (x-4)(2x+1-1)(2x+1+1)=

= (x-4)(2x)(2x+2)=2x(x-4)(x+1)

e)(x+7)²-25= (x+7-5)(x+7+5)=(x+2)(x+12)

f)(x-5)²-36= (x-5-6)(x-5+6)=(x-11)(x+1)

g)(x-6)²-9x²=(x-6-3x)(x-6+3x)=(-2x-6) (4x-6)=(2x+6) (6-4x)=2*2(x+3)(3-2x)

h)(x+2)²-16x²=(x+2-4x)(x+2+4x)=(2-3x)(5x+2)