Question : Simplify the given expression: $\frac{(0.25)^4+2×(0.25)^2+1–(0.25)^2}{(0.25)^2+0.25+1}$
Option 1: 0.6755
Option 2: 0.9025
Option 3: 0.8125
Option 4: 0.7835

Question

Question : Simplify the given expression: $\frac{(0.25)^4+2×(0.25)^2+1–(0.25)^2}{(0.25)^2+0.25+1}$

Option 1: 0.6755

Option 2: 0.9025

Option 3: 0.8125

Option 4: 0.7835

Team Careers360 · Accepted Answer

Correct Answer: 0.8125

Solution : Given:
$\frac{(0.25)^4+2×(0.25)^2+1–(0.25)^2}{(0.25)^2+0.25+1}$
= $\frac{((0.25)^2+1)^2–(0.25)^2}{(0.25)^2+0.25+1}$
= $\frac{((0.25)^2+1+0.25)((0.25)^2+1–0.25)}{(0.25)^2+0.25+1}$
= $\frac{((0.25)^2+0.25+1)((0.25)^2+1–0.25)}{(0.25)^2+0.25+1}$
= $0.25^2 + 1 - 0.25$
= $0.0625 + 0.75$
= $0.8125$
Hence, the correct answer is 0.8125.

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Question : Simplify the given expression: (0.25)4+2×(0.25)2+1–(0.25)2(0.25)2+0.25+1Option 1: 0.6755Option 2: 0.9025Option 3: 0.8125Option 4: 0.7835

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Question : Simplify the given expression: $\frac{(0.25)^{4} + 2 \times (0.25)^{2} + 1 - (0.25)^{2}}{(0.25)^{2} + 0.25 + 1}$
Option 1: 0.6755
Option 2: 0.9025
Option 3: 0.8125
Option 4: 0.7835