Question

# Use binomial theorem to expand (s^{2} + 3)^{5}

Hint:

### The binomial expansion is , here n ≥ 0 . We are asked to use binomial theorem to expand (s2 + 3)5 .

## The correct answer is: 243

Step 1 of 2:

The given expression is (s^{2} + 3)^{5} , here x = s^{2} & y = 3 . The value of n=5, hence there are 5+1=6 terms in the expressions.

Step 2 of 2:

Substitute the values of (s^{2} + 3)^{5} in the binomial equation to get the expansion:

Thus, the expansion is:

Thus, the expansion is:

For the expansion of an expression (x + y)n , we would have n+1 terms. This is something you need to keep in mind.

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For the expansion of an expression (x + y)n , we would have n+1 terms. This is something you need to keep in mind.

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### How is obtained from

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The answer cam also be found by expanding the formula of 5Cr .

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The answer cam also be found by expanding the formula of 5Cr .

### Use polynomial identities to multiply the expressions ?

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### How can you use polynomial identities to factor polynomials and simplify numerical expressions ?

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### How is ( x + y )^{n} obtained from (x + y)^{n-1}

You could also get the value of from by just multiplying a ( x + y) with .

### How is ( x + y )^{n} obtained from (x + y)^{n-1}

You could also get the value of from by just multiplying a ( x + y) with .