x²-9x²y²+6xy-1a²b²+16ab+60

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x²-9x²y²+6xy-1a²b²+16ab+60

x²-9x²y²+6xy-1a²b²+16ab+60
x²-9x²y²+6xy-1
a²b²+16ab+60

x²-9x²y²+6xy-1a²b²+16ab+60
x²-9x²y²+6xy-1=x²-(3xy-1)²=(x-3xy+1)(x+3xy-1)
a²b²+16ab+60=a²b²+16ab+64-4=(ab+8)²-4=(ab+8-2)(ab+8+2)=(ab+6)(ab+10)

第一题:(x-3xy+1)(x+3xy-1)
第二题:(ab+10)(ab+6)

x²-9x²y²+6xy-1=x²-(9x²y²-6xy+1)=x²-(3xy-1)²=(x+3xy-1)(x-3xy+1)
a²b²+16ab+60=(ab)²+2*8ab+64-4=(ab+8)²-2²=(ab+10)(ab+6)