6:31 du may
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a; \(x^3\) + 64
= \(x^3\) + 43
= (\(x+4\))(\(x^2\) - 4\(x\) + 16)
b; 2\(x^2\) - 4\(x\)
= 2\(x\)(\(x-2\))
c; 6\(x^2\)y + 4\(xy^2\) + 2\(xy\)
= 2\(xy\)(3\(x\) + 2y + 1)
a) x³ + 64
= x³ + 4³
= (x + 4)(x² − 4x + 16)
b) 2x² − 4x
= 2x(x - 2)
c) 6x²y + 4xy² + 2xy
= 2xy(3x + 2y + 1)
d) Sửa đề: x² − x + y − 2xy + y²
= x² − 2xy + y² − x + y
= (x − y)² − (x − y)
= (x − y)(x − y − 1)
5A:
b: \(47-\dfrac{\left(45\cdot24-5^2\cdot12\right)}{14}\)
\(=47-\dfrac{1080-25\cdot12}{14}\)
\(=47-\dfrac{1080-300}{14}=47-\dfrac{780}{14}=-\dfrac{61}{7}\)
d: \(2345-1000:\left[19-2\left(2\cdot1-18^2\right)\right]\)
\(=2345-1000:\left(19+2\cdot322\right)\)
\(=2345-\dfrac{1000}{19+644}=2345-\dfrac{1000}{663}=\dfrac{1553735}{663}\)
5B:
b: \(50-\left[\left(20-2^3\right)\right]:2+34\)
\(=84-\dfrac{20-8}{2}=84-6=78\)
c: \(20-\left[30-\left(5-1\right)^2\right]:3\)
\(=20-\dfrac{\left[30-4^2\right]}{3}\)
\(=20-\dfrac{14}{3}=\dfrac{46}{3}\)
d: \(205-\left[1200-\left(4^2-23\right)^3\right]:40\)
\(=205-\left[1200-\left(16-23\right)^3\right]:40\)
\(=205-\dfrac{\left[1200-\left(-7\right)^3\right]}{40}\)
\(=205-\dfrac{1200+343}{40}\)
\(=205-38,575=166,425\)
\(u_n=\dfrac{1}{2}\left(\dfrac{2}{1.3}+\dfrac{2}{3.5}+...+\dfrac{2}{\left(2n-1\right)\left(2n+1\right)}\right)\)
\(=\dfrac{1}{2}\left(1-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{5}+...+\dfrac{1}{2n-1}-\dfrac{1}{2n+1}\right)\)
\(=\dfrac{1}{2}\left(1-\dfrac{1}{2n+1}\right)=\dfrac{n}{2n+1}\)
Số hạng thứ \(2021\) là \(u_{2021}=\dfrac{2021}{2.2021+1}=\dfrac{2021}{4043}\)
68313 - (200 + 313)
= 68313 - 200 - 313
= (68313 - 313) - 200
= 68000 - 200
= 67800
1. She was not study last night
Sửa: didn't
2. I was study all night for the exam.
Sửa: bỏ was, studied
1. Lỗi: "she was not study last night"
Sửa: "She was not studying last night."
2. Lỗi: "I was study all night for the exam"
Sửa: "I was studying all night for the exam."
Cả hai lỗi đều là đang hoạt động nhưng không có đuôi ''ing''
A = 3 + 32 + 33 + ... + 32015
3A = 32 + 33 + 34 + ... + 32016
3A - A = 32 + 33 + 34 + ... + 32016
2A = 32 + 33 + 34 + ... + 32016 - (3 + 32 + 33 + ... + 32015)
2A = 32 + 33 + 34 + ... + 32016 - 3 - 32 - 33 - ... - 32015
2 A = 3 2016 - 3 + (32 - 32) + (33 - 33) + ... + (32015 - 32015)
2A = 32016 - 3 + 0 + 0 + ... + 0 + 0
2A = 32016 - 3
2A + 3 = 32016 - 3 + 3
2A + 3 = 32016 - (3 - 3) = 34\(x\)
32016 = 34\(x\)
2016 = 4\(x\)
\(x\) = 2016 : 4
\(x=\) 504
Vậy \(x=504\)
1. We will find making models exciting because we be creative.
2. My sister enjoys making new models on her own.
3.My best friend does not like mountain climbing because he is afraid of heights.
4. You need to be patient to make beautiful gifts from eggshells.
5. Playing sports is good for your health.
1 We find making models exciting because we will be creative
2 My sister enjoys making new models on her own
3 My best friend does not like mountain climbing because he is afraid of heights
4 You need to be patienr to make beautiful gifts from eggshells
5 Playing sports is good for your health
6 : 31 = 0 dư 6
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