Question

22. a)(x+4) la a2a -9=
b)16-(x-2) la a2a=
c)(3x+2)la a2a-4x la a2a=
d)25x la a2a-(x-1)la a2a=
e)9(x+2)la a2a-16=
f)(x+2)la a2a-(2x-1)la a2a=

Answer 1

a)(x+4)² -9=(x+4+3)(x+4-3)=(x+7)(x+1)
b)16-(x-2)²=[4-(x-2)][4+(x-2)]=(4-x+2)(4+x-2)=(-x+6)(x+2)
c)(3x+2)²-4x²=(3x+2-2x)(3x+1+2x)=(x+2)(5x+1)
d)25x²-(x-1)²=[5x-(x-1)][5x+(x-1)]=(5x-x+1)(5x+x-1)=(4x+1)(6x-1)
e)9(x+2)²-16=[3(x+2)-4][3(x+2)+4]=(3x+6-4)(3x+6+4)=(3x+2)(3x+10)
f)(x+2)²-(2x-1)²=(x+2-2x+1)(x+2+2x-1)=(-x+3)(3x+1)