求证:等式(10x+y) [10x+(10-y)]=100x (x+1)=y (10-y)恒式成立,并利用此恒式计算,98乘92
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求证:等式(10x+y) [10x+(10-y)]=100x (x+1)=y (10-y)恒式成立,并利用此恒式计算,98乘92
求证:等式(10x+y) [10x+(10-y)]=100x (x+1)=y (10-y)恒式成立,并利用此恒式计算,98乘92
求证:等式(10x+y) [10x+(10-y)]=100x (x+1)=y (10-y)恒式成立,并利用此恒式计算,98乘92
题目是不是错了,应该是(10x+y) [10x+(10-y)]=100x (x+1)+y (10-y)
证明:(10x+y) [10x+(10-y)]=100x ^2+100x-10xy+10xy+10y-y^2
=100x(x+1)+y(10-y)
98*92=(10*9+8)[10*9+(10-8)]=100*9*(9+1)+8*(10-8)=9000+16=9016
左式=(10x+y)[10x+(10-y)]
=(10x+y)[(10x-y)+10]
=(10x+y)(10x-y)+(10x+y)10
=100x^2-y^2+100x+10y
右式=100x(x+1)+y(10-y)
=100x^2+100x+10y-y^2
∴左式=右式
98乘92
=(10x9+8)[...
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左式=(10x+y)[10x+(10-y)]
=(10x+y)[(10x-y)+10]
=(10x+y)(10x-y)+(10x+y)10
=100x^2-y^2+100x+10y
右式=100x(x+1)+y(10-y)
=100x^2+100x+10y-y^2
∴左式=右式
98乘92
=(10x9+8)[10x9+(10-8)]
=1000x9x(9+1)+8x(10-8)
=9000+16
=9016
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耐心化简就行。数学就是通过计算严谨性体现出来的