解:4.6*5.2+4.8*5.4
=(4.9-0.3)(4.9+0.3)+(5.1-0.3)(5.1+0.3)
=4.9^2-0.3^2+5.1^2-0.3^2
=4.9^2+5.1^2-2*0.3^2
=4.9^2+5.1^2+2*5.1*4.9-2*5.1*4.9-0.18
=(5.1+4.9)^2-2*(5+0.1)*(5-0.1)-0.18
=10^2-2*(25-0.01)-0.18
=100-50+0.02-0.18
=50-0.16
=49.84
4.6*5.2+4.8*5.4
=4.6*5.2+4.8*4.6+4.8*0.6
=4.6*(5.2+4.8)+2.88
=46+2.88
=48.88
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