Please factor this 2x(x-y)^2+14(x-y)^3-10y(x-y)^2?

2008-09-03 1:42 pm

回答 (3)

2008-09-03 1:51 pm
✔ 最佳答案
2x(x-y)^2 + 14(x-y)^3 - 10y(x-y)^2
= (x - y)^2 * [2x + 14(x - y) - 10y]
= (x - y)^2 * (16x - 24y)
= 8(2x - 3y)(x - y)^2
2008-09-03 11:29 pm
2x(x - y)² + 14(x - y)³ - 10y(x - y)²
= [x - y]²[2x + 14(x - y) - 10y]
= 2[x - y]²[x + 7x - 7y - 5y]
= 2[x - y]²[8x - 12y]
= 2[4][x - y]²[2x - 3y]
= 8[x - y]²[2x - 3y]
2008-09-03 8:51 pm
2(x-y)^2 [x+7(x-y) -5y]=2(x-y)^2[x+7(x-y)-5y]=2(x-y)^2 X
[8x-12y]=8(x-y)^2 (2x-3y)


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