Question

Which expression represents the sixth term in the binomial expansion of (2a - 3b)10?

Answer 1

Answer:

$^{10}C_5(2a)^{5}(-3b)^5$

Option 1 is correct.

Step-by-step explanation:

Given: $(2a-3b)^{10}$

We need to find 6th term of binomial expansion.

Formula:

$T_{r+1}=^nC_rx^{n-r}y^{r}$

We need to find 6th term, $T_6$

$T_6=T_{r+1}$

So, r=5

Put r=5 into formula

$n=10, x=2a \text{ and }y=-3b$

$T_6=^{10}C_5(2a)^{10-5}(-3b)^5$

Now we will simplify it to calculate 6th term

$T_6=^{10}C_5(2a)^{5}(-3b)^5$

Hence, The 6th term of binomial is $^{10}C_5(2a)^{5}(-3b)^5$

Answer 2

The answer is A. 10C5(2a)^5(-3b)^5