Question

分解因式。①m的三次方－ 8m的平方＋16m ② xy－x－y＋1 ③ a(x－5)＋b(5－x)－c(5－x)

Answer 1

①m³－8m²＋16m=m(m²-8m+16)=m(m-4)²
②xy－x－y＋1=x(y-1)-(y-1)=(x-1)(y-1)
③ a(x－5)＋b(5－x)－c(5－x)=a(x－5)-b(x-5)+c(x-5)=(a-b+c)(x-5)

Answer 2

m的三次方－ 8m的平方＋16m
=m(m²-8m+16)
=m(m-4)²
xy－x－y＋1=(x-1)(y-1)
a(x－5)＋b(5－x)－c(5－x)
=(x-5)(a-b+c)

Answer 3

m^3-8m^2+16m=m(m^2-8m+16)=m(m-4)^2
xy-x-y+1=x(y-1)-(y-1)=(x-1)(y-1)
a(x－5)＋b(5－x)－c(5-x)=(x-5)(a-b+c)