Question

descompuneti in factori , aplicand formula a^2-b^2=(a+b)(a-b) : a) 4(x-1)^2-1 b)9(2x+3)^2-x^2

Answer 1

[ 4( x-1)² -1²]= [ 2( x -1) -1 ]· [ 2( x-1 ) +1] = ( 2·x -3) ·(2 ·x -1 )
B.  [ 3²( 2x+3)² -x²] = [ 3( 2x+3) -x] ·[ 3( 2x+3 ) +x] = ( 5x+9)·( 7x+9)

Answer 2

4(x-1)²-1=(2x-2)²-1²=(2x-2-1)(2x-2+1)=(2x-3)(2x-1)

9(2x+3)²-x²=(6x+9)²-x²=(6x+9-x)(6x+9+x)=(5x+9)(7x+9)