$$\frac{1.12 \times 2.24 - 0.78 \times 1.56}{4 \times (1.12 - 0.78)} = ?$$

Solution

Expression : $$\frac{1.12 \times 2.24 - 0.78 \times 1.56}{4 \times (1.12 - 0.78)} = ?$$

= $$\frac{2 (1.12)^2 - 2 (0.78)^2}{4 (1.12 - 0.78)}$$

= $$\frac{2 (1.12 - 0.78) (1.12 + 0.78)}{4 (1.12 - 0.78)}$$ [Using, $$a^2 - b^2 = (a - b) (a + b)$$]

= $$\frac{1.12 + 0.78}{2}$$

= $$\frac{1.9}{2} = 0.95$$

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