解
2x²+20x+50
=2(x²+10x+25)
=2(x+5)²
8m²-24m+18
=2(4m²-12m+9)
=2(2m-3)²
27c²-18cd+3d²
=3(9c²-6cd+d²)
=3(3c-d)²
-63y²-28x²-84xy
=-7(9y²+12xy+4x²)
=-7(3y+2x)²
p²-(p+q)²
=[p-(p+q)][p+(p+q)]
=-q(2p+q)
2-18(a+1)²
=2[1-9(a+1)²
=2[1-3(a+1)][1+3(a+1)]
=2(-3a-2)(3a+4)
=-2(3a+2)(3a+4)
25(x+1)²-16(x-1)²
=[5(x+1)-4(x-1)][5(x+1)+4(x-1)]
=(x+9)(9x+1)
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