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2. Polynomials
easy
નીચે આપેલા ઘનનું વિસ્તરણ કરો : $\left[\frac{3}{2} x+1\right]^{3}$
Option A
Option B
Option C
Option D
Solution
નિત્યસમ $(vi) :$
$(x+y)^{3}=x^{3}+y^{3}+3 x y(x+y),$
$\left[\frac{3}{2} x+1\right]^{3}=\left(\frac{3}{2} x\right)^{3}+(1)^{3}+3\left(\frac{3}{2} x\right) (1) \left[\frac{3}{2} x+1\right]$
$=\frac{27}{8} x^{3}+1+\frac{9}{2} x\left[\frac{3}{2} x+1\right]$
$=\frac{27}{8} x^{3}+1+\frac{27}{4} x^{2}+\frac{9}{2} x$
$=\frac{27}{8} x^{3}+\frac{27}{4} x^{2}+\frac{9}{2} x+1$
Standard 9
Mathematics
