Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
`a, 126^2 - 152 . 126 + 5776.`
`= 126^2 - 2 . 76 . 126 + 76^2`
`= (126+76)^2 = 202^2 = 40804`
`b, 3^8 . 5^8 - (15^4-1)(15^4+1)`
`= 15^8 - 15^8 + 1`
`= 1`
1.
$=153^2+2.47.153+47^2=(153+47)^2=200^2=40000$
2.
$=1,24^2-2.1,24.0,24+0,24^2=(1,24-0,24)^2=1^2=1$
3. Không phù hợp để tính nhanh
4.
$=15^8-(15^8-1)=1$
5.
$=(1^2-2^2)+(3^2-4^2)+(5^2-6^2)+...+(2019^2-2020^2)$
$=(1-2)(1+2)+(3-4)(3+4)+(5-6)(5+6)+...+(2019-2020)(2019+2020)$
$=(-1)(1+2)+(-1)(3+4)+(-1)(5+6)+....+(-1)(2019+2020)$
$=(-1)(1+2+3+4+....+2019+2020)=(-1).2020(2020+1):2=-2041210$
6:
\(\left(2+1\right)\left(2^2+1\right)\left(2^4+1\right)....\left(2^{2020}+1\right)+1\\ =1.\left(2+1\right)\left(2^2+1\right)\left(2^4+1\right)....\left(2^{2020}+1\right)+1\\ =\left(2-1\right)\left(2+1\right)\left(2^2+1\right)\left(2^4+1\right)....\left(2^{2020}+1\right)+1\\ =\left(2^2-1\right)\left(2^2+1\right)\left(2^4+1\right)....\left(2^{2020}+1\right)+1\\ =\left(2^4-1\right)\left(2^4+1\right)....\left(2^{2020}+1\right)+1\\ =\left(2^8-1\right)....\left(2^{2020}+1\right)+1\\ =\left(2^{2020}-1\right)\left(2^{2020}+1\right)+1\\ =2^{4040}-1+1=2^{4040}\)
a) 153^2+99.153+47^2
= 153^2+2.47.153+47^2
= (153+47)^2
=200^2
=40000
b) 126^2-152.126+5776
= 126^2-2.76.126+76^2
= (126-76)^2
= 50^2
= 2500
c)3^8.5^8-(15^4-1).(15^4+1)
= 15^8-[(15^4)^2-1^2]
= 15^8-15^8+1
=1
d) (2+1).(2^2+1).(2^4+1)...(2^32+1)+1
= 1.(2+1).(2^2+1).(2^4+1)...(2^32+1)+1
= (2-1).(2+1).(2+1).(2^4+1)...(2^32+1)+1
= (2^2-1).(2^2+1).(2^4+1)...(2^32+1)+1
= (2^4-1).(2^4+1)...(2^32+1)+1
= (2^8-1)...(2^32+1)+1
= (2^32-1).(2^32+1)+1
= 2^64-1+1
= 2^64
a)\(\left(153+47\right)^2\)
b)\(\left(126-76\right)^2\)
c)\(15^8-15^8+1=1\)
Tính nhanh:
a)
153^2 + 94 * 153 + 47^2
= 153 * (153 + 94) + 47^2
= 153 * 247 + 47^2
= 153 * (200 + 47) + 47^2
= 153 * 200 + 153 * 47 + 47^2
= 153 * 200 + 47 * (153 + 47)
= 153 * 200 + 47 * 200
= 200 * (153 + 47)
= 200 * 200
= 40000
b)126^2 - 152.126 + 5776
= 126 . 126 - 152.126 +126. 2888/63
= 126 . ( 126 - 152 + 2888/63)
= 126 . 1250/63
= 2500
Câu c bn tự làm nha
a) \(153^2+94.153+47^2=153^2+2.47.153+47^2\)
\(=\left(153+47\right)^2=200^2=40000\)
b) \(126^2-152.126+5776=126^2-2.76.126+76^2\)
\(=\left(126-76\right)^2=50^2=2500\)
c) \(3^8.5^8-\left(15^4-1\right)\left(15^4+1\right)=15^8-\left[\left(15^4\right)^2-1\right]\)
\(=15^8-\left(15^8-1\right)=15^8-15^8+1=1\)
B1:
\(a.301^2=\left(300+1\right)^2=300^2+2.300.1+1^2\\ =90000+600+1=90601\\ b.88^2+2.88.12+12^2=\left(88+12\right)^2=100^2=10000\\ c.99.100=100^2-100=10000-100=9900\\ d,153^2+94.153+47^2=153^2+2.153.47+47^2=\left(153+47\right)^2=200^2=40000\)
B2:
\(A=x^2-20x+101\\ =x^2-2.x.10+10^2+1\\ =\left(x-10\right)^2+1\ge1\forall x\in R\left(Vì:\left(x-10\right)^2\ge0\forall x\in R\right)\\ \Rightarrow min_A=1\Leftrightarrow x-10=0\Leftrightarrow x=10\)
(14,78-a)/(2,87+a)=4/1
14,78+2,87=17,65
Tổng số phần bằng nhau là 4+1=5
Mỗi phần có giá trị bằng 17,65/5=3,53
=>2,87+a=3,53
=>a=0,66.
a) A= 54 . 34- (152-1).(152+1)
=(5.3)4-154-1
=154-154-1
=-1
\(\left(2+1\right)\left(2^2+1\right)\left(2^4+1\right)...\left(2^{10}+1\right)+1\)
\(=\left(2-1\right)\left(2+1\right)\left(2^2+1\right)...\left(2^{20}+1\right)+1\)
\(=\left(2^2-1\right)\left(2^2+1\right)\left(2^4+1\right)...\left(2^{20}+1\right)+1\)
\(=2^{40}-1+1=2^{40}\)
