Question

write the no. distinct terms in the expansion of(1+2x+x^2)^10.

Answer 1

$((1)^{2} + 2 \times 1 \times x + (x)^{2} )^{10}$


$(1 + 2x \times x {}^{2}) {}^{10}$
$((1) {}^{10} + (2x) {}^{10} + (x {}^{2} ){}^{10} )$
$(1 + 1024x {}^{10} + x {}^{20})$

Answer 2

Answer:

Step-by-step explanation:

No.of distinct terms would be equal to no. Of total terms,i.e.(10+1)(10+2)/2=11×12/2=11×6=66