Another method to solve the square of 45

Mathematics

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Answer

2025

Step 1: Express 45 as 50−550 - 5.

(50−5)2=502−2⋅50⋅5+52(50 - 5)^2 = 50^2 - 2 \cdot 50 \cdot 5 + 5^2

Step 2: Compute each term.

502=250050^2 = 2500 2⋅50⋅5=5002 \cdot 50 \cdot 5 = 500 52=255^2 = 25

Step 3: Substitute and simplify.

2500−500+25=2000+25=20252500 - 500 + 25 = 2000 + 25 = 2025

452=202545^2 = \boxed{2025}

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Quick Answer

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

Another method to solve the square of 45
Mathematics

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 Answer
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