Certainly! Let's solve the given mathematical expression step-by-step:
Given the expression:
[tex]\[ 6 \cdot (4+1) + 2 \cdot (5+2) + 5 \cdot 2^2 \][/tex]
1. First, we need to calculate each term inside the parentheses or with the exponent.
- Calculate [tex]\(4 + 1\)[/tex]:
[tex]\[ 4 + 1 = 5 \][/tex]
- Calculate [tex]\(5 + 2\)[/tex]:
[tex]\[ 5 + 2 = 7 \][/tex]
- Calculate [tex]\(2^2\)[/tex]:
[tex]\[ 2^2 = 4 \][/tex]
2. Next, we'll multiply these results by their respective coefficients:
- For the term [tex]\( 6 \cdot (4 + 1) \)[/tex], we substitute the calculated result:
[tex]\[ 6 \cdot 5 = 30 \][/tex]
- For the term [tex]\( 2 \cdot (5 + 2) \)[/tex], we substitute the calculated result:
[tex]\[ 2 \cdot 7 = 14 \][/tex]
- Finally, for the term [tex]\( 5 \cdot 2^2 \)[/tex], we substitute the calculated result:
[tex]\[ 5 \cdot 4 = 20 \][/tex]
3. Now, sum up all the results to get the final value:
[tex]\[ 30 + 14 + 20 \][/tex]
4. Adding these together:
[tex]\[ 30 + 14 = 44 \][/tex]
[tex]\[ 44 + 20 = 64 \][/tex]
Therefore, the final result of the given mathematical expression is:
[tex]\[ 6 \cdot (4+1) + 2 \cdot (5+2) + 5 \cdot 2^2 = 64 \][/tex]
