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9.解:由m+n=5,m-n=3,解得m=4,n=1,故m²-n²=16-1=15,故应选C.
10.解:(-2a³b⁴)²=4a⁶b⁸.
11.解:(x+1)(x-1)=x²-1
12.解:原式=-6a⁵c
18.解:(x-4)(x+6)=x²+2x-24=x²+mx+n,故m=2,n=-24.
20.(1)。解:(3x+2y)²-(3x-2y)²=[(3x+2y)+(3x-2y)][(3x+2y)-(3x-2y)]=6x(4y)=24xy
(2)。解:[(3x+4y)²-3x(3x+4y)]÷(-4y)=-(9x²+24xy+16y²-9x²-12xy)/(4y)=-(12xy+16y²)/(4y)=-(3x+4y)
10.解:(-2a³b⁴)²=4a⁶b⁸.
11.解:(x+1)(x-1)=x²-1
12.解:原式=-6a⁵c
18.解:(x-4)(x+6)=x²+2x-24=x²+mx+n,故m=2,n=-24.
20.(1)。解:(3x+2y)²-(3x-2y)²=[(3x+2y)+(3x-2y)][(3x+2y)-(3x-2y)]=6x(4y)=24xy
(2)。解:[(3x+4y)²-3x(3x+4y)]÷(-4y)=-(9x²+24xy+16y²-9x²-12xy)/(4y)=-(12xy+16y²)/(4y)=-(3x+4y)
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