Help me with factoring (19:20:28:38) 1.   (x+y) ²(x-y)+(x+y)(x-y)² 2.   2a(a-3)²-6a²(3-a)+8a(a-3) 3.   24xy²z²(x+y-z)-32xyz(z-x-y)²+8xyz³(z-x-y)

Help me with factoring (19:20:28:38) 1.   (x+y) ²(x-y)+(x+y)(x-y)² 2.   2a(a-3)²-6a²(3-a)+8a(a-3) 3.   24xy²z²(x+y-z)-32xyz(z-x-y)²+8xyz³(z-x-y)


1.(x+y) ²(x-y)+(x+y)(x-y)²=(x+y) (x-y)(x+y+x-y)=2x(x+y) (x-y)2.2a(a-3)²-6a²(3-a)+8a(a-3)=2a [(a-3)²-3a(3-a)+4(a-3)]=2a (a-3)[(a-3)+3a+4]=2a (a-3)[4a+1]3.24xy²z²(x+y-...



If the expansion of the product of polynomial (x4-2x3-3ax + 1) (x3-2x2 + X-B) does not contain the cubic term and the square term of X, the values of a and B are obtained


(x4- 2x3—3ax+1)(x3-2x2+x-b)
=x7-4x6+5x5-(b+2)x4+(2b+6a+1)x3-(3a+2)x2+(3ab+1)x-b
If there is no cubic term and square term, the coefficient of these two terms is 0
So 2B + 6A + 1 = 0
3a+2=0
a=-2/3
b=(-6a-1)/2=3/2