Question

# Use binomial theorem to expand (x - 3)^{4}

Hint:

### The binomial expansion is , here n ≥ 0 . We are asked to use binomial theorem to expand .

## The correct answer is: (x - 3)4 = x4 - 12x3 + 54x2 - 108x + 81

Step 1 of 2:

Here, the value of n=4. So, the combination permutation we would use is 4Cr .

We would have 4+1=5 terms in the expansion of the expression (x - 3)^{4}

Step 2 of 2:

Substitute the values of (x - 3)^{4 }in the binomial 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.

### Related Questions to study

### Use polynomial identities to factor the polynomials or simplify the expressions :

### Use polynomial identities to factor the polynomials or simplify the expressions :

### How is obtained from

### How is obtained from

### Use Pascal triangle to expand (x + y)^{6}

The expansion of the polynomial (x + y)6 can be found using the values of 6Cr

### Use Pascal triangle to expand (x + y)^{6}

The expansion of the polynomial (x + y)6 can be found using the values of 6Cr

### Use polynomial identities to multiply the expressions ?

### Use polynomial identities to multiply the expressions ?

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

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

### Use Pascal triangle to expand

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

### Use Pascal triangle to expand

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

### Use polynomial identities to multiply the expressions ?

### Use polynomial identities to multiply the expressions ?

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

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

### Use polynomial identities to multiply the expressions ?

### Use polynomial identities to multiply the expressions ?

### 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 .

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

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

### Use polynomial identities to multiply the expressions ?

### Use polynomial identities to multiply the expressions ?

### How can you use polynomial identities to factor polynomials and simplify numerical expressions ? 12^{3} + 2^{3}

This can also be done by finding the cube of each values and adding them. But that might be time consuming. Hence, we use these identities.

### How can you use polynomial identities to factor polynomials and simplify numerical expressions ? 12^{3} + 2^{3}

This can also be done by finding the cube of each values and adding them. But that might be time consuming. Hence, we use these identities.

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

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

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

We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.

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

We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.