20) $30ab^{3}$, $20ab^{3}$
22) 28, 14, 21
24) $10ba$, $20ba$, $28ba$
26) $28b^{2}$, $20ab^{3}$, $16b^{4}$

Question

Accepted Answer

Since the problem type (e.g., finding GCF, LCM, or something else) is not specified, I'll assume we are finding the greatest common factor (GCF) for each set as it's a common operation with such terms. Let's solve each sub - question:

### Sub - question 20: For $30ab^{3}$ and $20ab^{3}$
# Explanation:
## Step 1: Find GCF of coefficients
The coefficients are 30 and 20. The factors of 30 are $1, 2, 3, 5, 6, 10, 15, 30$ and the factors of 20 are $1, 2, 4, 5, 10, 20$. The greatest common factor of 30 and 20 is 10.
## Step 2: Find GCF of variables
For the variable part, both terms have $a$ (with exponent 1) and $b^{3}$. So the variable part of the GCF is $ab^{3}$.
## Step 3: Combine coefficient and variable GCF
Multiply the coefficient GCF (10) with the variable GCF ($ab^{3}$) to get $10ab^{3}$.
# Answer: $10ab^{3}$

### Sub - question 22: For 28, 14, and 21
# Explanation:
## Step 1: List factors of 28
The factors of 28 are $1, 2, 4, 7, 14, 28$.
## Step 2: List factors of 14
The factors of 14 are $1, 2, 7, 14$.
## Step 3: List factors of 21
The factors of 21 are $1, 3, 7, 21$.
## Step 4: Identify common factors and GCF
The common factors of 28, 14, and 21 are 1 and 7. The greatest among them is 7.
# Answer: 7

### Sub - question 24: For $10ba$, $20ba$, and $28ba$
# Explanation:
## Step 1: Find GCF of coefficients
The coefficients are 10, 20, and 28. The factors of 10 are $1, 2, 5, 10$, factors of 20 are $1, 2, 4, 5, 10, 20$, and factors of 28 are $1, 2, 4, 7, 14, 28$. The greatest common factor of 10, 20, and 28 is 2.
## Step 2: Find GCF of variables
All terms have $ba$ (which is the same as $ab$). So the variable part of the GCF is $ba$ (or $ab$).
## Step 3: Combine coefficient and variable GCF
Multiply the coefficient GCF (2) with the variable GCF ($ba$) to get $2ba$ (or $2ab$).
# Answer: $2ba$ (or $2ab$)

### Sub - question 26: For $28b^{2}$, $20ab^{3}$, and $16b^{4}$
# Explanation:
## Step 1: Find GCF of coefficients
The coefficients are 28, 20, and 16. The factors of 28 are $1, 2, 4, 7, 14, 28$, factors of 20 are $1, 2, 4, 5, 10, 20$, and factors of 16 are $1, 2, 4, 8, 16$. The greatest common factor of 28, 20, and 16 is 4.
## Step 2: Find GCF of variables
For the variable $b$: the exponents are 2, 3, and 4. The smallest exponent is 2, so the variable part for $b$ is $b^{2}$. For the variable $a$: only the second term has $a$, so $a$ is not part of the GCF.
## Step 3: Combine coefficient and variable GCF
Multiply the coefficient GCF (4) with the variable GCF ($b^{2}$) to get $4b^{2}$.
# Answer: $4b^{2}$

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QUESTION IMAGE

Question

Explanation:

Sub - question 20: For \(30ab^{3}\) and \(20ab^{3}\)

Step 1: Find GCF of coefficients

Step 2: Find GCF of variables

Step 3: Combine coefficient and variable GCF

Step 1: List factors of 28

Step 2: List factors of 14

Step 3: List factors of 21

Step 4: Identify common factors and GCF

Step 1: Find GCF of coefficients

Step 2: Find GCF of variables

Step 3: Combine coefficient and variable GCF

Answer:

Sub - question 22: For 28, 14, and 21