Simplify the below equation: - 2.45 × 2.45 - 0.9 × 2.45 + 0.45 × 0.45

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02 Nov 2021 Simplification

Simplify the below equation: -
2.45 × 2.45 - 0.9 × 2.45 + 0.45 × 0.45

OPtion

1. 1
2. 3
3. 4
4. 2
5. 2.5
6. 2.4
7. 1.4
8. 1.6
9. 1.5
10. None of the above

Solution

Given expression
= 2.45 × 2.45 - 2 × 2.45 × 0.45 + 0.45 × 0.45
= (2.45)^2 - 2 × 2.45 × 0.45 + (0.45)^2
= (2.45 - 0.45)^2 [ a^2 - 2ab + b^2 = (a - b)^2 ]
= (2)^2 = 4.

Correct Option: 3 Best Solution (4)