9/25n^6-0.01^2n16(x-y)^2-25(x+y)^211(a-b)+1/11(b-a)^3分解因式9/25n^6-0.01^2n16(x-y)^2-25(x+y)^211(a-b)+1/11(b-a)^3

Question

9/25n^6-0.01^2n 16(x-y)^2-25(x+y)^2 11(a-b)+1/11(b-a)^3 分解因式
9/25n^6-0.01^2n
16(x-y)^2-25(x+y)^2
11(a-b)+1/11(b-a)^3

Answer 1

9/25n^6-0.01^2n
=0.36n^6-0.01²n
=0.01²n*(3600n^5-1)
16(x-y)^2-25(x+y)^2
=[4(x-y)]²-[5(x+y)]²
=(4x-4y+5x+5y)(4x-4y-5x-5y)
=(9x+y)(-x-9y)
=-(9x+y)(x+9y)
11(a-b)+1/11(b-a)^3
=11(a-b)-(1/11)(a-b)^3
=(1/11)(a-b)[11²-(a-b)²]
=(1/11)(a-b)(11+a-b)(11-a+b)