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2. Polynomials
easy
$(x+3)^{3}$ ના વિસ્તરણમાં $x$ નો સહગુણક ............. છે.
A
$1$
B
$9$
C
$27$
D
$18$
Solution
Using $(a+b)^{3}=a^{3}+b^{3}+3 a b(a+b),$ we get
$(x+3)^{3}=x^{3}+3^{3}+3 \times x \times 3(x+3)$
$=x^{3}+27+9 x^{2} \times 27 x$
Therefore, the coefficient of $x$ is $27 .$
Hence, $(c)$ is the correct answer.
Standard 9
Mathematics
