Question

ചുവടെ നൽകിയിരിക്കുന്ന സമവാക്യം ലഘൂകരിക്കുക:

$\frac{0.46 \times 0.46 + 2 \times 0.46 \times 0.54 + 0.54 \times 0.54}{0.5}$

• A. 1
• B. 2
• C. 3
• D. 4

Answer 1

Answer:

B. 2

The value of the expression is 2.

1. Identify the pattern in the numerator:
   The numerator is in the form of the algebraic identity $a^2 + 2ab + b^2 = (a + b)^2$.

   • Let $a = 0.46$

   • Let $b = 0.54$

2. Simplify the numerator:
   $\text{Numerator} = (0.46 + 0.54)^2$
   $0.46 + 0.54 = 1$
   $\text{Numerator} = (1)^2 = 1$

3. Divide by the denominator:
   $\frac{\text{Numerator}}{\text{Denominator}} = \frac{1}{0.5} = 2$