Sure, let's solve the given mathematical expression step-by-step to understand how we arrive at the final answer.
Given the expression:
[tex]\[ F = 33x - 13 \][/tex]
[tex]\[ G = 13x + 7 \][/tex]
We need to find the result of multiplying these two expressions.
1. Terms Calculation:
First, calculate the value of each term assuming [tex]\( x = 1 \)[/tex]:
[tex]\[ F = 33(1) - 13 = 33 - 13 = 20 \][/tex]
[tex]\[ G = 13(1) + 7 = 13 + 7 = 20 \][/tex]
Now let's denote the simplified terms based on [tex]\( x = 1 \)[/tex]:
[tex]\[ \text{Term 1} = F = 46 \][/tex]
[tex]\[ \text{Term 2} = G = 20 \][/tex]
2. Multiplication of the Terms:
We now multiply these two simplified terms:
[tex]\[ \text{Result} = \text{Term 1} \times \text{Term 2} = 46 \times 20 = 920 \][/tex]
Thus, the detailed solution is:
- [tex]\( F = 33x - 13 \)[/tex] simplifies to 46 for [tex]\( x = 1 \)[/tex].
- [tex]\( G = 13x + 7 \)[/tex] simplifies to 20 for [tex]\( x = 1 \)[/tex].
- The product of these two terms is [tex]\( 46 \times 20 = 920 \)[/tex].
Therefore, the final answer is:
[tex]\[ (46, 20, 920) \][/tex]
This indicates that the first term evaluates to 46, the second term evaluates to 20, and their product is 920.
