45+75+6=.........
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a, 1 + 2 + 3 + ... + 87
= (1 + 87).87 : 2
= 87.88 : 2
= 87.44
= 3828
b, 2 + 4 + 6 + ... + 54
= (2 + 54).27 : 2
= 27.56 : 2
= 27.28
= 756
c, 3 + 6 + 9 + ... + 99
= (99 + 3).49 : 2
= 49.102 : 2
= 49.51
= 2499
d, 45.25 + 45.75 + 55.25.25 + 55.75
= 45. (25 + 75) + 55(25.25 + 75)
= 45.100 + 55.700
= 4500 + 38500
= 43000
\(d,45x25+45x75+55x25+55x75\)
\(=45x\left(25+75\right)+55x\left(25+75\right)\)
\(=45x100+55x100\)
\(=100x\left(45+55\right)\)
\(=100x100\)
\(=10000\)
\(a,=-2\sqrt{5}+9\sqrt{5}-24\sqrt{5}-\sqrt{5}=-18\sqrt{5}\)
\(b,=2\sqrt{3}-5\sqrt{3}+4\sqrt{3}-7\sqrt{3}=-6\sqrt{3}\)
\(c,=3\sqrt{3}+7\sqrt{3}-9\sqrt{3}+11\sqrt{3}=12\sqrt{3}\)
a) Ta có: \(-\sqrt{20}+3\sqrt{45}-6\sqrt{80}-\dfrac{1}{5}\sqrt{125}\)
\(=-2\sqrt{5}+9\sqrt{5}-24\sqrt{5}-\dfrac{1}{5}\cdot5\sqrt{5}\)
\(=-17\sqrt{5}-\sqrt{5}=-18\sqrt{5}\)
b) Ta có: \(2\sqrt{3}-\sqrt{75}+2\sqrt{12}-\sqrt{147}\)
\(=2\sqrt{3}-5\sqrt{3}+4\sqrt{3}-7\sqrt{3}\)
\(=-6\sqrt{3}\)
\(\dfrac{45^4.5^8}{75^6}=\dfrac{\left(5.9\right)^4.5^8}{\left(15.5\right)^6}=\dfrac{5^4.9^4.5^8}{15^6.5^6}=\dfrac{5^4.3^{2^4}.5^8}{\left(3.5\right)^6.5^6}=\dfrac{5^4.3^8.5^8}{3^6.5^6.5^6}=\dfrac{3^2.5^2}{5^2}=3^2=9\)
\(\dfrac{45^4.5^8}{75^6}=\dfrac{5^4.9^4.5^8}{3^6.5^6.5^6}=\dfrac{1.\left(3^2\right)^4.5^2}{3^6.5^2.1}=\dfrac{3^8.1}{3^6.1}=\dfrac{3^8}{3^6}=\dfrac{3^2}{1}=9\)
3.(-4)^3-2.(-5)+(-7)^2.(-6)=3.-64-(-10)+49.(-6)=(-192)-(-10)+(-294)=(-182)+(-294)=(-476)
(5).(-26-25)+(-4).(-51)=5.(-51)+204=(-255)+204=-51
34.(47-75)+47.(75-34)=34.(-28)+47.41=(-952)+1927=975
(-25).(75-45)-75.(45-25)=(-25).30-75.20=(-750)-1500=-2250
\(75^6-45^6\)
\(=\left(75^2\right)^3-\left(45^2\right)^3\\ =\left(75^2-45^2\right)\left(75^4+75^2.45^2+45^4\right)\\ =\left(75-45\right)\left(75+45\right)\left(75^4+75^2.45^2+45^4\right)\\ =30.120.\left(75^4+75^2.45^2+45^4\right)\\ =3600.\left(75^4+75^2.45^2+45^4\right)⋮3600\left(Dfcm\right)\)
(-25).(75 - 45) - 75.(45 - 25)
= [(-25).75 - (-25).45] - (75.45 - 75.25)
= (-25).75 + 25.45 - 75.45 + 75.25
= [(-25).75 + 75.25) - (75.45 - 25.45)
= 0 - 45.(75 - 25)
= -45.50
= -2250
\(\left(-25\right)\times\left(75-45\right)-75\times\left(45\times25\right)\)\(=\) \(\left(-25\right)\times30-75\times1125\)
\(=\left(-750\right)-84375\)
\(=-85125\)
= (- 25) . 30 - 75 . 1125
= -750 - 84375
= -82125
Ủng hộ mik nha
=126 nha
~ HT ~
TL :
45 + 75 + 6 = 126
T I C K cho tui !
~HT~