The simple trick of the square of 45

Mathematics

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Answer

2025

Step 1: Note that 45=50−545 = 50 - 5.

(50−5)2=502−2×50×5+52(50 - 5)^2 = 50^2 - 2 \times 50 \times 5 + 5^2 =2500−500+25= 2500 - 500 + 25 =2000+25=2025= 2000 + 25 = 2025

Step 2: Quick visual trick:
Subtract the deviation from 50 to get the first digits: 50−5=4550 - 5 = 45.
Square the deviation for the last two digits: 52=255^2 = 25.
Combine: 45 2545\, 25.

Final answer: 452=2025\mathbf{45^2 = 2025}

2025

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Note that 45 = 50 - 5. (50 - 5)^2 = 50^2 - 2 × 50 × 5 + 5^2 = 2500 - 500 + 25 = 2000 + 25 = 2025 Step 2: Quick visual trick: Subtract the deviation from 50 to get the first digits: 50 - 5 = 45.

The simple trick of 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: Note that 45 = 50 - 5. (50 - 5)^2 = 50^2 - 2 × 50 × 5 + 5^2 = 2500 - 500 + 25 = 2000 + 25 = 2025 Step 2: Quick visual trick: Subtract the deviation from 50 to get the first digits: 50 - 5 = 45. Square the deviation for the last two digits: 5^2 = 25. Combine: 45\, 25. Final answer: 45^2 = 2025 2025