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\(=1990\cdot1990-\left(1990+2\right)\left(1990-2\right)\)
\(=1990^2-\left(1990^2-2^2\right)\)
\(=1990^2-1990^2+4\)
\(=4\)
1990.1990-1992.1988
= 1990 . ( 1988 + 2 ) - ( 1990 + 2 ) . 1988
= 1990 . 1988 + 1990 . 2 - 1990 . 1988 + 1988 . 2
= 1990 . 2 - 1988 . 2
= ( 1990 - 1988 ) . 2
= 2 . 2
= 4
a, 1990 . 1990 - 1992 . 1988
= 3960100 - 3960096
= 4 .
b, ( 1374 . 57 + 687 . 86 ) : ( 26 . 13 + 74 . 14 )
= ( 78318 + 59082 ) : ( 338 + 1036 )
= 137400 : 1374
= 100 .
c, \(\frac{37.13-13}{24 +37.12}\)
\(=\frac{37.\left(12+1\right)-13}{24+37.12}\)
\(=\frac{37.12+37-13}{24+37.12}\)
\(=\frac{37.12+24}{24+37.12}\)
\(=1\)
1990.1990 - 1992.1988 =(1992-2).(1988+2) -1992.1988
=1992.1988 - 2.1988 + 1992.2 - 4 -1992.1988
=2.(1992 -1988) - 4
=2.4 - 4
=8 - 4
=4
1990.1990 - 1992.1988 = ( 1992 - 2 ) . ( 1988 + 2 ) - 1992 . 1988
= 1992 . 1988 - 2.1988 + 1992.2 - 4 - 1992.1988
= 2.( 1992 - 1988 ) - 4
= 2.4 - 4
= 8 - 4
= 4
a) 998.34=(1000−2).34=34000−68=33932
b,\(1990.1990-\left(1990+2\right).1988=1990.1990-1990.1988-2.1988=1990\left(1990-1988\right)-2.1988=1990.2-2.1998=2\left(1990-1998\right)=2.2\)= 4
c. \(\text{(1374.57+678.86).(26.13+74.14)}\)
Câu này đề hơi lạ
a)1990*1990-1992*1988=1990*(1988+2)-(1990+2)*1988=1990*1988+2*1990-1990*1988-2*1988=(1990*1988-1990*1988)+(2*1990-2*1988)=0+2*(1990-1988)=2*2=4
b)(1374*57+687*86)/(26*13+74*14)=(687*2*57+687*86)/(26*13+74+74*13)=(687*114+687*86)/(100*13+74)
=(687*200)/1374=137400/1374=100
c)(124*237+152)/(870+235*122)=\(\frac{\left(122+2\right)\cdot237+152}{870+\left(237-2\right)\cdot122}=\frac{122\cdot237+2\cdot237+152}{870-2\cdot122+237\cdot122}=\frac{122\cdot237+626}{626+237\cdot122}=1\)
d)\(\frac{423134\cdot846267-423133}{846267\cdot423133+423134}=\frac{\left(423133+1\right)\cdot846267-423133}{846267\cdot423133+423134}\)
\(=\frac{423133\cdot846267+846267-423133}{846267\cdot423133+423134}=\frac{423133\cdot846267+423134}{846267\cdot423133+423134}=1\)
(mỏi hết cả mắt)
à nhầm sửa tí chỗ 1990.2+1988.2
sửa thành 1990.2-1998.2
=2(1990-1988)
=2.2
=4 mới đúng