MCQ
${(1 + {x^2})^5}{(1 + x)^4}$ વિસ્તરણમાં ${x^5}$ સહગુણક મેળવો.
- A$30$
- ✓$60$
- C$40$
- Dએકપણ નહીં.
=$({}^5{C_0} + {}^5{C_1}{x^2} + \,{}^5{C_2}{x^4} + ...)$$({}^4{C_0} + {}^4{C_1}x + {}^4{C_2}{x^2}{ + ^4}{C_3}{x^3} + {}^4{C_4}{x^4})$
So coefficient of ${x^5}$in $[{(1 + {x^2})^5}{(1 + x)^4}]$
= ${}^5{C_2}.{}^4{C_1} + {}^4{C_3}.{}^5{C_1} = 60.$
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