①(a-b)²-1 ②36x²y²-25 ③49-25a² ④16(a-b)
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①(a-b)²-1

=(a-b+1)(a-b-1)

②36x²y²-25

=(6xy+5)(6xy-5)

③49-25a²

=(7+5a)(7-5a)

④16(a-b)²-25(a+b)²

=[4(a-b)+5(a+b)][4(a-b)-5(a+b)]

=[4a-4b+5a+5b][4a-4b-5a-5b]

=(9a+b)(-a-9b)

=-(9a+b)(a+9b)

⑤x的四次方-x²

=x²(x²-1)

=x²(x+1)(x-1)

⑥负二分之一a²+2b²

=2b²-a²/2

=(4b²-a²)/2

=(2b+a)(2b-a)/2

⑦x的三次方-4x

=x(x²-4)

=x(x+2)(x-2)

⑧x的四次方-1

=(x²+1)(x²-1)

=(x²+1)(x+1)(x-1)

⑨负九分之一x²+81y²

=81y²-x²/9

=(9y+x/3)(9y-x/3)

⑩(a-1)+b²(1-a)

=(a-1)-b²(a-1)

=(a-1)(1-b²)

=(a-1)(1+b)(1-b)