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Find the constant term in the full expansion of \((x+1)(x+2)(x+3)\).\((x+1)(x+2)(x+3)\) के पूर्ण विस्तार में स्थिर पद (constant term) ज्ञात कीजिए।
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(6\)\(6\)
The constant term comes from multiplying the constant parts in each factor.
\[
(x+1)(x+2)(x+3)
\]
Constant parts are \(1\), \(2\), and \(3\). So the constant term is
\[
1\cdot 2\cdot 3=6.
\]
Therefore, the constant term is \(6\).स्थिर पद प्रत्येक गुणनखंड में मौजूद स्थिर पदों को गुणा करके मिलता है।
\[
(x+1)(x+2)(x+3)
\]
स्थिर पद क्रमशः \(1\), \(2\), और \(3\) हैं। अतः स्थिर पद होगा:
\[
1\cdot 2\cdot 3=6.
\]
इसलिए स्थिर पद \(6\) है।
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