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Here are some Extra Questions👇 → Is “A Happy child” poem in unit 1 chapter 1 from class 1st Marigold easy to understand? → The poem unit1 chapter 1 from class 1st marigold is for the children to read and sing. Do you think it is easy to memorize? → Is Story unit 1 chapter 2 from Class 1st marigold ‘Read more
Here are some Extra Questions👇
→ Is “A Happy child” poem in unit 1 chapter 1 from class 1st Marigold easy to understand?
→ The poem unit1 chapter 1 from class 1st marigold is for the children to read and sing. Do you think it is easy to memorize?
→ Is Story unit 1 chapter 2 from Class 1st marigold ‘Three little pigs’ easy to understand and read?
I can explain you ✋ Answer, Let a be any positive integer and b = 3, using Euclid’s Division Lemma, a = 3q + r, where q ≥ 0 and 0 ≤ r < 3. Therefore, a = 3q or 3q + 1 or 3q + 2. Therefore, every number can be represented as these three forms. There are three cases. Case 1: When a = 3q, a³ = (3q)³Read more
I can explain you ✋
Answer,
Let a be any positive integer and b = 3, using Euclid’s Division Lemma, a = 3q + r, where q ≥ 0 and 0 ≤ r < 3. Therefore, a = 3q or 3q + 1 or 3q + 2.
Therefore, every number can be represented as these three forms.
There are three cases.
Case 1: When a = 3q,
a³ = (3q)³ = 27q³ = 9(3q³)= 9m
Where m is an integer such that m = 3q³
Case 2: When a = 3q + 1,
a³ = (3q +1)³
a³ = 27q³ + 27q² + 9q + 1
a³ = 9(3q³ + 3q² + q) + 1 = 9m + 1
Where m is an integer such that m = (3q³ + 3q² + q)
Case 3: When a = 3q + 2,
a³ = (3q +2)³
a³ = 27q³ + 54q² + 36q + 8
a³ = 9(3q³ + 6q² + 4q) + 8
a³ = 9m + 8
Where m is an integer such that m = (3q³ + 6q² + 4q)
Therefore, the cube of any positive integer is of the form 9m, 9m + 1, or 9m + 8.
Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial: t²– 3, 2t⁴ + 3t³ – 2t² – 9t – 12
Exercise 2.3 Question no. 2. See Here ✌
Exercise 2.3 Question no. 2. See Here ✌
See lessclass 8 English it’s so happened book solution
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If you want solution, click on this link and start learning 👇
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NCERT Solutions for class 1 English?
Here are some Extra Questions👇 → Is “A Happy child” poem in unit 1 chapter 1 from class 1st Marigold easy to understand? → The poem unit1 chapter 1 from class 1st marigold is for the children to read and sing. Do you think it is easy to memorize? → Is Story unit 1 chapter 2 from Class 1st marigold ‘Read more
Here are some Extra Questions👇
→ Is “A Happy child” poem in unit 1 chapter 1 from class 1st Marigold easy to understand?
→ The poem unit1 chapter 1 from class 1st marigold is for the children to read and sing. Do you think it is easy to memorize?
→ Is Story unit 1 chapter 2 from Class 1st marigold ‘Three little pigs’ easy to understand and read?
Click on this link for NCERT solutions and more 👇
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NCERT Solutions for class 1 English Chapter 1?
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Follow this link => https://www.tiwariacademy.com/ncert-solutions/class-1/english/
See lessUse Euclid’s division lemma to show that the cube of any positive integer is of the form 9m, 9m + 1 or 9m + 8.
I can explain you ✋ Answer, Let a be any positive integer and b = 3, using Euclid’s Division Lemma, a = 3q + r, where q ≥ 0 and 0 ≤ r < 3. Therefore, a = 3q or 3q + 1 or 3q + 2. Therefore, every number can be represented as these three forms. There are three cases. Case 1: When a = 3q, a³ = (3q)³Read more
I can explain you ✋
Answer,
Let a be any positive integer and b = 3, using Euclid’s Division Lemma, a = 3q + r, where q ≥ 0 and 0 ≤ r < 3. Therefore, a = 3q or 3q + 1 or 3q + 2.
Therefore, every number can be represented as these three forms.
There are three cases.
Case 1: When a = 3q,
a³ = (3q)³ = 27q³ = 9(3q³)= 9m
Where m is an integer such that m = 3q³
Case 2: When a = 3q + 1,
a³ = (3q +1)³
a³ = 27q³ + 27q² + 9q + 1
a³ = 9(3q³ + 3q² + q) + 1 = 9m + 1
Where m is an integer such that m = (3q³ + 3q² + q)
Case 3: When a = 3q + 2,
a³ = (3q +2)³
a³ = 27q³ + 54q² + 36q + 8
a³ = 9(3q³ + 6q² + 4q) + 8
a³ = 9m + 8
Where m is an integer such that m = (3q³ + 6q² + 4q)
Therefore, the cube of any positive integer is of the form 9m, 9m + 1, or 9m + 8.
There is a video explanation 👇
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