Question

39.a)xy-3y-4y+12=
bb)2xy-6x+y-3=
c)6xy+4x-3y-2=
d)20ax+2ay-bx-by=
e)x la a2a+bx+ax+ab=
f)xy+bx+ay+ab=

Answer 1

a) xy-3x-4y+12=
=x(y-3)-4(y-3)=
=(y-3)(x-4)

b)2xy-6x+y-3=
=2x(y-3)+(y-3)=(y-3)(2x+1)

c) 6xy+4x-3y-2=
= 2x(3y+2)-(3y+2)=
= (3y+2)(2x-1)

d)2ax+2ay-bx-by=
=2a(x+y)-b(x+y)=
=(x+y)(2a-b)

e)x²+bx+ax+ab=
=x(x+b)+a(x+b)=
=(x+b)(x+a)

f)xy+bx+ay+ab=
=x(y+b)+a(y+b)=
=(y+b)(x+a)


41.a)a³ -a²-a+1=
=a²(a-1)-(a-1)=
=(a-1)(a²-1)=
=(a-1)(a-1)(a+1)
=(a+1)(a-1)²

b)a³+a²-4a-4=
=a²(a+1)-4(a+1)=
=(a+1)(a²-1)=
=(a+1)(a-1)(a+1)=
=(a-1)(a+1)²

d)x³+x²-x-1=
=x²(x+1)-(x+1)=
=(x+1)(x²-1)=
=(x+1)(x-1)(x+1)=
=(x-1)(x+1)²