Another method to solve the square of 45

March 20, 2026Mathematics

ScanSolve AI Answer

March 20, 2026

Answer

2025

Step 1: Express 45 as $50 - 5$ .

(50 - 5)^2 = 50^2 - 2 \cdot 50 \cdot 5 + 5^2

Step 2: Compute each term.

50^2 = 2500

2 \cdot 50 \cdot 5 = 500

5^2 = 25

Step 3: Substitute and simplify.

2500 - 500 + 25 = 2000 + 25 = 2025

$45^2 = \boxed{2025}$

Was this helpful?

Need help with your own homework?

Get instant step-by-step solutions to any question. Free to start.

Ask Your Question

More Mathematics Questions

QFind the local time of Yanga in Tanzania, which is located at longitude 39° East, if it is 12:00 noo…QCacheprobe1780603963316: A cyclist rides 90 km in 2 hours. Average speed in km/h? Show work.QCacheprobe1780603930644: A cyclist rides 90 km in 2 hours. Average speed in km/h? Show work.QCacheprobe1780603930644: A cyclist rides 90 km in 2 hours. Average speed in km/h? Show work.QCacheprobe1780603897115: A cyclist rides 90 km in 2 hours. Average speed in km/h? Show work.

See all Mathematics questions →

Still have questions?

Quick Answer

Express 45 as 50 - 5. (50 - 5)^2 = 50^2 - 2 · 50 · 5 + 5^2 Step 2: Compute each term.

Asked on March 20, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on March 20, 2026

Step 1: Express 45 as 50 - 5. (50 - 5)^2 = 50^2 - 2 · 50 · 5 + 5^2 Step 2: Compute each term. 50^2 = 2500 2 · 50 · 5 = 500 5^2 = 25 Step 3: Substitute and simplify. 2500 - 500 + 25 = 2000 + 25 = 2025 45^2 = 2025