Question

# Use binomial theorem to expand (2c + d)^{6}

Hint:

### The binomial expansion is , here n ≥ 0 .

We are asked to use binomial theorem to expand (2c + d)6 .

## The correct answer is: values of the triangle

Step 1 of 2:

The given expression is (2c + d)^{6} , here x = 2c & y = d . The value of n=6, hence we would have 6+1=7 terms in the expression.

Step 2 of 2:

Substitute the values of (2c + d)^{6} in the binomial expression

Thus, the expansion is: .

Thus, the expansion is: .

The expansion of the expression can also be found using the Pascal’s triangle. But, it is necessary to remember the values of the triangle to write down the expansion.

### Related Questions to study

### Use binomial theorem to expand .

### Use binomial theorem to expand .

### Use binomial theorem to expand (x - 1)^{7}

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

### Use binomial theorem to expand (x - 1)^{7}

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

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

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

### Use Pascal triangle to expand

### Use Pascal triangle to expand

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

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

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

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

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

### Use Pascal triangle to expand

### Use Pascal triangle to expand

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

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

### Use Pascal triangle to expand

### Use Pascal triangle to expand

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

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

### 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