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Simplify and write in expanded form: \( (x^2+1)^2-x^4 \).सरल कीजिए और विस्तारित रूप में लिखिए: \( (x^2+1)^2-x^4 \).
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(2x^2+1\)\(2x^2+1\)
Compute \((x^2+1)^2\):
\[
(x^2+1)^2=x^4+2x^2+1.
\]
Now subtract \(x^4\):
\[
(x^4+2x^2+1)-x^4=2x^2+1.
\]
So the simplified result is \(2x^2+1\).पहले \((x^2+1)^2\) निकालिए:
\[
(x^2+1)^2=x^4+2x^2+1.
\]
अब इसमें से \(x^4\) घटाइए:
\[
(x^4+2x^2+1)-x^4=2x^2+1.
\]
अतः सरल परिणाम \(2x^2+1\) है।
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