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Ta xét :
\(\frac{4n+1}{5n+1}\)là số tự nhiên
\(\frac{6n^2+6n+1}{4n+1}\)là luỹ thừa với sô tự nhiên
Ta gọi n là số nguyên tố 4n2 x 5n6 . Vậy ta suy ra n là số tối giản nguyên tố chia hết cho 6
Ta có : n2 + 6n1 = 12 + 6n1 = Ta suy ra n là nguyên tố tối giản

a)a) - Xét tổng :
(5a+8b)+2(−a+2b)(5a+8b)+2(-a+2b)
=5a+8b−2a+4b=5a+8b-2a+4b
=3a+12b⋮3=3a+12b⋮3
→(5a+8b)+2(−a+2b)⋮3→(5a+8b)+2(-a+2b)⋮3
mà 5a+8b⋮35a+8b⋮3
→2(−a+2b)⋮3→2(-a+2b)⋮3
mà (2,3)=1(2,3)=1
→−a+2b⋮3→-a+2b⋮3
b)b) - Xét tổng :
(5a+8b)+(10a+b)(5a+8b)+(10a+b)
=5a+8b+10a+b=5a+8b+10a+b
=15a+9b⋮3=15a+9b⋮3
→(5a+8b)+(10a+b)⋮3→(5a+8b)+(10a+b)⋮3
mà 5a+8b⋮35a+8b⋮3
→10a+b⋮3→10a+b⋮3
c)c) - Xét tổng :
(5a+8b)+(16b+a)(5a+8b)+(16b+a)
=5a+8b+16b+a=5a+8b+16b+a
=6a+24b⋮3=6a+24b⋮3
→(5a+8b)+(16b+a)⋮3→(5a+8b)+(16b+a)⋮3
mà 5a+8b⋮35a+8b⋮3
→16b+a⋮3→16b+a⋮3
6)6)
- Xét x<0x<0
2017x=2016x+x2017x=2016x+x
mà x<0x<0
⇒2016x+x<2016x⇒2016x+x<2016x
⇒2017x<2016x⇒2017x<2016x
- Xét x=0x=0
⇒2016x=2017x=0⇒2016x=2017x=0
hay 2016x=2017x2016x=2017x
- Xét x>0x>0
2017x=2016x+x2017x=2016x+x
mà x>0x>0
⇒2016x+x>2016x⇒2016x+x>2016x
⇒2017x>2016x⇒2017x>2016x
b)b)
- Xét x<0x<0
x2>0x2>0
5x<05x<0
⇒x2>0>5x⇒x2>0>5x
⇒x2>5x⇒x2>5x
- Xét x=0x=0
⇒x2=5x=0⇒x2=5x=0
hay x2=5xx2=5x
- Xét x>0x>0
x2=x.x<5x⇔x<5x2=x.x<5x⇔x<5
x2=x.x=5x⇔x=5x2=x.x=5x⇔x=5
x2=x.x>5x⇔x>5

Đáp án:
( ab + ba ) chia hết cho 11
Giải thích các bước giải:
Ta có: ( ab + ba )
= ( 10a + b) + ( 10b + a)
= 11a + 11b
Vì 11a và 11b đều chia hết cho 11
Suy ra: ( ab + ba )chia hết cho 11


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TÌM DẤU CHẤM RỒI TRẢ LỜI CHO!!!!


A. Put the words in the correct order to make correct sentences.
43. Our/ short/ has/ hair/ is/ brown/ teacher/ and/ long/.
\(\rightarrow\) Our teacher is short and has long brown hair.
44. wearing/ She/ blue T-shirt/ is/ jeans/ a/ and/.
\(\rightarrow\) She is waering blue T-shirts and jeans.
B. Make a question for each underlined part.
45. My brother is tall and slim.
\(\rightarrow\) How is your brother?
46. Sarah is smart and very kind.
\(\rightarrow\) How is Sarah?
47. Sammy is wearing a pink skirt and white shoes today.
\(\rightarrow\) What is Sammy wearing today?
C. Use the given words/phrases to make complete sentences.
48. It/ sunny/ so/ let’s/ go/ the mall/.
\(\rightarrow\) It's sunny so let's go to the mall.
49. We/ have/ picnic/ the park/ Sunday morning/.
\(\rightarrow\) We will have a picnic in the park on Sunday morning.
50. Michael/ watch/ movie/ home/ tonight/?
\(\rightarrow\) Is Michael watching the movie at home tonight?
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