(x+2)(y+3)-(x+1)(y-2) 這道題怎麼?便運算

熱心網(wǎng)友

(x+2)(y+3)-(x+1)(y-2) =[(x+1)+1](y+3)-(x+1)(y-2)=(x+1)(y+3)-(x+1)(y-2)+y+3=(x+1)(y+3-y+2)+y+3=5×(x+1)+y+3=5x+y+8

熱心網(wǎng)友

什么簡便方法哦 ,一點也沒有減少解答步驟.最簡單的就是直接算拉. 用這種方法花的時間更多.

熱心網(wǎng)友

原式=(xy+3x+2y+6)-(xy-2x+y-2) =xy+3x+2y+6-xy+2x-y+2 =5x+y+8

熱心網(wǎng)友

是(x+2)*(y+3)=(x+1+1)*(y+3)=(x+1)*(y+3)+1*(y+3)

熱心網(wǎng)友

(x+1)(y+3)-(x+1)(y-2)+y+3=(x+1)(y+3-y+2)+y+3=(x+1)*5+y+3=5x+y+8