Use the binomial theorem to expand (d-4b)^3

12bd^2+48b^2d-64b^3[/tex]

Explanation:

we have general formula  for binomial expansion which is

Since, we have to evaluate

here a=d and b=

Substituting values in the formula we will get

The binomial expansion of the expression is .

Further explanation:

It is given that the expression is .

Now, the expansion of the expression is simplified using binomial theorem.

The binomial is a polynomial with only two terms. The binomial theorem is used to simplify the algebraic expansion of any power of a binomial expression.

Now, consider and as the numbers and the binomial expression becomes . If the power is assumed to be  , then the binomial expression is .

The binomial expression is expanded as follows:

For any positive integer ,the expanded form is given below.

For non-negative integers and

with , the expression is where, .

The expression is expanded using the binomial theorem as follows:

Simplify the above equation as follows:

Thus, the binomial expansion of the expression is .

Learn more:

1. Which classification best describes the following system of equations?

2. Your car is skidding to a stop from a high

3. Which point could be on the line that is parallel to line kl and passes through point m?

Answer Details:

Grade: Junior High School

Subject: Mathematics

Chapter: Binomial Theorem

Keywords: Binomial theorem, linear equation, system of linear equations in two variables, , expression, theorem, expansion

angle addition postulate

2x=56

step-by-step explanation:

answer: i think it is (1,-2)