Tính:
a,A=127^2+146×127+73^2
b,B=9^8×2^8-(18^4-1)×(18^4+1)+(a+b)^2
c, C=(20^2+18^2+...+4^2+2^2)-(19^2+17^2+...+3^2+1)
Tính nhanh
A=20^2+18^2+16^2+.....+2^2-19^2-17^2-3^2-1
B=127^2+146×127+73^2
1. Tìm x:
a. 2x.(2x-1)^2 - 3x.(x+3).(x-3) - 4x.(x+1)^2 - x^3 = x^3 - 16.x^2 + 1
b. x.(x-2)^2 + 3x.(2x-1)^2 - 13.x^2 + 16.x^2 = 5x+2
2. Tính nhanh
a. 127^2 + 146 x 127 + 73^2
b. 9^8 x 2^8 - ( 18^4 - 1 ) x ( 18^4 + 1 )
help pls
Tính nhanh, dùng hằng đẳng thức thứ 1;2;3
a) 1272 + 146 . 127 + 732
b) 98 . 28 - (184 - 1)(184 + 1)
c) \(\frac{780^2-220^2}{125^2+150.125+75^2}\)
a) 1272 + 146.127 + 732
= 1272 + 2.73.127 + 732
= (127 + 73)2 = 2002 = 40000
b) 98 . 28 - (184 - 1)(184 + 1)
= (9.2)8 - 188 + 1
= 188 - 188 + 1 = 1
c) \(\frac{780^2-220^2}{125^2+150.125+75^2}=\frac{\left(780-220\right)\left(780+220\right)}{125^2+2.75.125+75^2}=\frac{560.1000}{\left(125+75\right)^2}=\frac{560000}{200^2}\)
\(=\frac{560000}{40000}=14\)
a) 1272 + 146.127 + 732
= 1272 + 2.73.127 + 732
= ( 127 + 73 )2
= 2002 = 40 000
b) 98.28 - ( 184 - 1 )( 184 + 1 )
= ( 9.2 )8 - [ ( 184 )2 - 12 ]
= 188 - 188 + 1
= 1
c) \(\frac{780^2-220^2}{125^2+150\cdot125+75^2}\)
\(=\frac{\left(780-220\right)\left(780+220\right)}{125^2+2\cdot75\cdot125+75^2}\)
\(=\frac{560\cdot1000}{\left(125+75\right)^2}\)
\(=\frac{560000}{200^2}\)
\(=\frac{560000}{40000}=14\)
Bài làm :
a) 1272 + 146.127 + 732
= 1272 + 2.73.127 + 732
= ( 127 + 73 )2
= 2002
= 40 000
b) 98.28 - ( 184 - 1 )( 184 + 1 )
= ( 9.2 )8 - [ ( 184 )2 - 12 ]
= 188 - 188 + 1
= 1
\(\text{c)}\frac{780^2-220^2}{125^2+150\cdot125+75^2}\)
\(=\frac{\left(780-220\right)\left(780+220\right)}{125^2+2\cdot75\cdot125+75^2}\)
\(=\frac{560\cdot1000}{\left(125+75\right)^2}\)
\(=\frac{560000}{200^2}\)
\(=\frac{560000}{40000}\)
\(=14\)
Tính Nhanh
a) 1272 + 146 . 127 + 732
b) 98 . 28 - ( 184 - 1 ) . ( 184 +1 )
c) 1002 - 992 + 982 - 972 + ... + 22 - 12
a)1272+146.127+732=1272+2.127.73+732=(127+73)2=2002=40000
b)98.28-(184-1).(184+1)=188-[(184)2-12]=188-(188-1)=188-188+1=1
c)1002-992+982-972+...+22-12=(100-99)(100+99)+(98-97)(98+97)+...+(2-1)(2+1)
Tính nhanh giá trị các biểu thức sau
a. \(127^2+146\times127+73^2\)
b.\(9^8\times2^8-\left(18^4-1\right)\times\left(18^4+1\right)\)
c.\(100^2-99^2+98^2-97^2+...+2^2-1^2\)
d. \(\left(20^2+18^2+16^2+...+4^2+2^2\right)-\left(19^2+17^2+15^2+...+3^2+1^2\right)\)
e. \(\dfrac{780^2-220^2}{125^2+150\times125+75^2}\)
a) \(127^2+146.127+73^2=127^2+2.73.127+73^2=\left(127+73\right)^2=40000\)b) \(9^8.2^8-\left(18^4-1\right)\left(18^4+1\right)=18^8-\left(18^8-1\right)=1\)
c) \(100^2-99^2+98^2-97^2+...+2^2-1^2\)
\(=\left(100-99\right)\left(100+99\right)+\left(98-97\right)\left(98+97\right)+...+\left(2-1\right)\left(2+1\right)\)\(=100+99+98+97+...+2+1\)
\(=\dfrac{100\left(100+1\right)}{2}=5050\)
d) \(\left(20^2+18^2+16^2+...+4^2+2^2\right)-\left(19^2+17^2+15^2+...+3^2+1^2\right)\) \(=20^2-19^2+18^2-17^2+16^2-15^2+...+4^2-3^2+2^2-1^2\)
\(=\left(20-19\right)\left(20+19\right)+\left(18-17\right)\left(18+17\right)+...+\left(2-1\right)\left(2+1\right)\)\(=20+19+18+17+...+2+1\)
\(=\dfrac{20\left(20+1\right)}{2}=210\)
e) \(\dfrac{780^2-220^2}{125^2+150.125+75^2}\)
\(=\dfrac{\left(780-220\right)\left(780+220\right)}{\left(125+75\right)^2}=\dfrac{560.1000}{200}=2800\)
Tính nhanh:
a) 1272 + 146.127 + 722
b) 98.28 - (184 - 1)(184 + 1)
c) 202 + 182 + 162 + .... + 42 + 22 - (192 + 172 + .... + 32 + 1)
Giải:
a) Sửa đề: 1272 + 146.127 + 732
\(127^2+146.127+73^2=\left(127+7\right)^2=200^2=40000\)
b) \(9^8.2^8-\left(18^4-1\right)\left(18^4+1\right)=18^8-\left(18^4-1\right)^2=18^8-18^8-1=-1\)
c) \(20^2+18^2+16^2+...+4^2+2^2-\left(19^2+17^2+...+3^2+1\right)\)
\(=20^2+18^2+16^2+...+4^2+2^2-19^2-17^2-...-3^2-1\)
\(=\left(20^2-19^2\right)+\left(18^2-17^2\right)+\left(16^2-15^2\right)+...+\left(4^2-3^2\right)+\left(2^2-1\right)\)
\(=20+19+18+17+16+15+...+4+3+2+1\)
\(=\dfrac{\left(20+1\right).20}{2}=210\)
Chúc bạn học tốt!
Tính Nhanh
A= 1995^2 -1994.1996
B= 9^8.2^8-(18^4-1).(18^4+1)
C=163^2+74.163+37^2
D=127^2+146.127+73^2
MẤY BẠN GIÚP MÌNH VỚI MÌNH CẦN GẤP LẮM
A = 19952 - ( 1995-1) (1995+1)
= 19952 - (19952 - 12)
= 19952 - 19952 +1
= 1
viết các biểu thức sau dưới dạng lũy thừa
a) \(127^2+146\times127+73^2\)
b) \(9^8\times2^8-\left(18^4-1\right)\left(18^4+1\right)\)
1,tính nhanh giá trị các biểu thức sau
a , C= 1272 + 146 . 127 + 732
b, A=\(\frac{2006^3+1}{2006^2-2005}\); B = \(\frac{2006^3-1}{2006^2+2007}\)
c, M = 19952 - 1994 . 1996
d, N = 98.28 - ( 184 -1 ).(184 +1)
e, K = 993 +3.992 +3 .99 + 1
hellpp meeee ..... !!!
ai nhanh mik tik cho :333