Answer :
To solve the expression [tex]\(165 \times 165 + 2 \times 165 \times 35 + 35 \times 35\)[/tex], we can break it down into manageable parts and calculate each part step-by-step. Let's go through the solution:
1. Calculate [tex]\(165 \times 165\)[/tex]:
- We multiply 165 by itself.
- The result of this multiplication is 27,225.
2. Calculate [tex]\(2 \times 165 \times 35\)[/tex]:
- First, multiply 165 by 35.
- Then, multiply the result by 2.
- The result of this calculation is 11,550.
3. Calculate [tex]\(35 \times 35\)[/tex]:
- Multiply 35 by itself.
- The result of this multiplication is 1,225.
4. Add all the results together:
- Now, sum up all the calculated values: [tex]\(27,225 + 11,550 + 1,225\)[/tex].
- The final result is 40,000.
Thus, the final answer to the expression [tex]\(165 \times 165 + 2 \times 165 \times 35 + 35 \times 35\)[/tex] is 40,000.
1. Calculate [tex]\(165 \times 165\)[/tex]:
- We multiply 165 by itself.
- The result of this multiplication is 27,225.
2. Calculate [tex]\(2 \times 165 \times 35\)[/tex]:
- First, multiply 165 by 35.
- Then, multiply the result by 2.
- The result of this calculation is 11,550.
3. Calculate [tex]\(35 \times 35\)[/tex]:
- Multiply 35 by itself.
- The result of this multiplication is 1,225.
4. Add all the results together:
- Now, sum up all the calculated values: [tex]\(27,225 + 11,550 + 1,225\)[/tex].
- The final result is 40,000.
Thus, the final answer to the expression [tex]\(165 \times 165 + 2 \times 165 \times 35 + 35 \times 35\)[/tex] is 40,000.
