Simplify: \({{0.8 \times 0.8 \times 0.8} - {0.7 \times 0.7 \times 0.7

1.	Simplify: \({{0.8 \times 0.8 \times 0.8} - {0.7 \times 0.7 \times 0.7}} \over {(0.8)^2 + (0.7)^2 + 0.56}\)1. 12. 0.13. 104. 0.01
Answer» Correct Answer - Option 2 : 0.1 Given: We have to simplify \({{0.8 × 0.8 × 0.8} - {0.7 × 0.7 × 0.7}} \over {(0.8)^2 + (0.7)^2 + 0.56}\) Concept Used: a³ - b³ = (a - b) × (a² + ab + b²) Calculation: \({{0.8 \times 0.8 \times 0.8} - {0.7 \times 0.7 \times 0.7}} \over {(0.8)^2 + (0.7)^2 + 0.56}\) ⇒ \({(0.8)^3 - (0.7)^3} \over {(0.8)^2 + (0.7)^2 + (0.7) \times (0.8)}\) ⇒ \({(0.8 - 0.7) \times [(0.8)^2 + (0.7)^2 +(0.8) \times (0.7)]} \over {(0.8)^2 + (0.7)^2 + (0.7) \times (0.8)}\) ⇒ (0.8 - 0.7) ⇒ 0.1 ∴ The required simplified value is 0.1

Simplify: \({{0.8 \times 0.8 \times 0.8} - {0.7 \times 0.7 \times 0.7}} \over {(0.8)^2 + (0.7)^2 + 0.56}\)1. 12. 0.13. 104. 0.01

Answer» Correct Answer - Option 2 : 0.1

Given:

We have to simplify \({{0.8 × 0.8 × 0.8} - {0.7 × 0.7 × 0.7}} \over {(0.8)^2 + (0.7)^2 + 0.56}\)

Concept Used:

a³ - b³ = (a - b) × (a² + ab + b²)

Calculation:

\({{0.8 \times 0.8 \times 0.8} - {0.7 \times 0.7 \times 0.7}} \over {(0.8)^2 + (0.7)^2 + 0.56}\)

⇒ \({(0.8)^3 - (0.7)^3} \over {(0.8)^2 + (0.7)^2 + (0.7) \times (0.8)}\)

⇒ \({(0.8 - 0.7) \times [(0.8)^2 + (0.7)^2 +(0.8) \times (0.7)]} \over {(0.8)^2 + (0.7)^2 + (0.7) \times (0.8)}\)

⇒ (0.8 - 0.7)

⇒ 0.1

∴ The required simplified value is 0.1