\(\left(-37\right)+54+\left(-70\right)+\left(-163\right)+246\)
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Sách Giáo Khoa
a) (-4).(+125).(-25).(-6).(-8) = [(-4).(-25)].[(+125).(-8)].(-6) = 100.(-1000).(-6) = 600000 b) (-98).(1 - 246) – 246.98 = -98 + 98.246 - 246.98 = -98 + 98.(246 - 246) = -98 + 98.0 = -98a) (-4).(+125).(-25).(-6).(-8)
= [(-4).(-25)].[(+125).(-8)].(-6)
= 100.(-1000).(-6)
= 600000
b) (-98).(1 - 246) – 246.98
= -98 + 98.246 - 246.98
= -98 + 98.(246 - 246)
= -98 + 98.0
= -98
Lời giải:
\(A=2018^2-2017.2019=2018^2-(2018-1)(2018+1)\)
\(=2018^2-(2018^2-1^2)=1\)
\(B=9^8.2^8-(18^4-1)(18^4+1)\)
\(=(9.2)^8-[(18^4)^2-1^2]\)
\(=18^8-(18^8-1)=1\)
\(C=163^2+74.163+37^2=163^2+2.37.163+37^2\)
\(=(163+37)^2=200^2=40000\)
\(D=\frac{2018^3-1}{2018^2+2019}=\frac{(2018-1)(2018^2+2018+1)}{2018^2+2019}\)
\(=\frac{2017(2018^2+2019)}{2018^2+2019}=2017\)
Sử dụng công thức \((a-b)(a+b)=a^2-b^2\)
\(E=(2+1)(2^2+1)(2^4+1)(2^8+1)(2^{16}+1)-2^{32}\)
\(=(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)(2^{16}+1)-2^{32}\)
\(=(2^2-1)(2^2+1)(2^4+1)(2^8+1)(2^{16}+1)-2^{32}\)
\(=(2^4-1)(2^4+1)(2^8+1)(2^{16}+1)-2^{32}\)
\(=(2^8-1)(2^8+1)(2^{16}+1)-2^{32}\)
\(=(2^{16}-1)(2^{16}+1)-2^{32}\)
\(=(2^{32}-1)-2^{32}=-1\)
a) (- 16) . (- 7) . 5 = [(- 16) . 5] . (- 7) = 560.
b) 11 . (- 12) + 11 . (- 18) = 11 . [(- 12) + (- 18)] = 11 . [- (12 + 18)] = 11 . (- 30) = - 330.
c) 87 . (- 19) – 37 . (- 19) = (- 19) . (87 – 37) = (- 19) . 50 = - 950.
d) 41 . 81 . (- 451) . 0 = 0.
-37 + 54 + (-70) + (-163 ) + 246
= [ (-37) + (-163) ] + ( 54 + 246 ) + (-70)
= -200 + 300 + (-70)
= 100 + (-70)
= 30
dap an cua Den do
= \(-37+54-70-163+246\)
\(=\left(-37-163\right)+\left(54+24\right)-70\)
\(=-200+78-70\)
\(=-200+\left(78-70\right)\)
\(=-200+8\)
\(=-192\)
thank you