Answer:
Please check the explanation!
Step-by-step explanation:
Important factors to remember regarding the like terms:
- 'Like terms' are terms whose variables such as 2x and 6x are the same.
- Also if the variables contain the exponents such as 4 in x⁴, they must be the same too.
- Since the coefficient doesn't affect likeness, therefore we can say that all constant terms would be treated as the like terms.
Question 7
Given the terms
2b b⁶ b x⁴ 3b⁶ 2x²
From the list of terms, there are two groups of like terms which are:
2b b (Like terms containing the variable b)
b⁶ 3b⁶ (Like terms containing the variable b with the same exponents)
- The remaining two x⁴ and 2x² terms are different from each other and the rest of the terms
Question 8
Given the terms
6 2n 3n² 3m² n/4 7
From the list of terms, there is one group of like terms which are:
6 7 (Constants Like terms)
2n n/4 (The terms with the same variable n)
- All the remaining terms such as 3n², 3m² are all different from each other and the rest of the terms.
Question 9
Given the terms
10k² m 3³ p/6 2m
From the list of terms, there are there is one group of like terms which are:
m 2m (The terms withe same variable m)
- All the remaining terms such as 10k², 3³, p/6 are all different from each other and the rest of the terms.
Question 10
Given the terms
6³ y³ 3y² 6² y 5y³
From the list of terms, there are two groups of like terms which are:
y³ 5y³ (The terms withe same variable m and exponent)
6³ 6² (Constant like terms. Plz don't confuse the power as all are the same constant terms)
- All the remaining terms such as y and 3y² are all different from each other and the rest of the terms.
