Question
(B) \( (10+k)^{2} \)
Ask by Hardy Brooks. in Kyrgyzstan
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( (10 + k)^2 = 100 + 20k + k^2 \)
Solution
Развернём квадрат выражения \( (10 + k)^2 \):
\[
(10 + k)^2 = 10^2 + 2 \cdot 10 \cdot k + k^2 = 100 + 20k + k^2
\]
Таким образом, \( (10 + k)^2 = 100 + 20k + k^2 \).
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain 
Simplify this solution Beyond the Answer
Did you know that squaring a binomial like \( (10+k)^2 \) follows a special formula? It’s called the binomial expansion! You can expand it using the rule \( (a + b)^2 = a^2 + 2ab + b^2 \). So here, it becomes \( 10^2 + 2(10)(k) + k^2 = 100 + 20k + k^2 \). Easy peasy! Now, let's consider how this can be applied. When you expand such expressions in real life, you often encounter them in fields like physics and engineering—think of projectile motion equations or calculating areas. Understanding binomials helps in simplifying and solving these real-world problems, making calculations more manageable and accurate.
