①(a-b)²-1 ②36x²y²-25 ③49-25a² ④16(a-b)
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①(a-b)²-1 ②36x²y²-25 ③49-25a² ④16(a-b)²-25(a+b)²
⑤x的四次方-x² ⑥负二分之一a²+2b² ⑦x的三次方-4x ⑧x的四次方-1
⑨负九分之一x²+81y² ⑩(a-1)+b²(1-a)
分解因式.
⑤x的四次方-x² ⑥负二分之一a²+2b² ⑦x的三次方-4x ⑧x的四次方-1
⑨负九分之一x²+81y² ⑩(a-1)+b²(1-a)
分解因式.
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)
=(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)
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