Question

23×33+34×33-43×17+46×24的简便计算？

Answer 1

23×33+34×33-43×17+46×24
【各因式重新组合】
=(34×33-43×17)+(23×33++46×24)
【第一个括号提取17，第二个括号提取23】
=17x(66-43)+23x(33+48)
=17x23+23x81
【提取23】
=23x(17+81)
=23x98
=23x(100-2)
=2300-46
=2254

Answer 2

23×33+34×33-43×17+46×24
=57x33-33x17-10x17+33x24+13x24
=(57-17+33)x33-10x17+17x13+7x13
=73x33+3x17+7x13
=73x20+73x13+7x13+91
=1460+80x13+91
=1460+1040+91
=2500+91
=2591

Answer 3

23x33+34x33-43x17+46x24
=【23x33+23x（2x24)】-【17x(2x33)+43x17】
=[23x33+23x48]-[17x66+43x17]
=23x[33+48]-17x[66+43]
=23x81-17x99
=23x(80+1)-17x(100-1)
=23x80+23x1-17x100+17x1
=1840+23-1700+17
=1863-1700+17
=163+17
=180