Simplify the given expression.

 

(96t−5)2=

The given expression is \((96t - 5)^2\). To simplify this, we apply the formula for the square of a binomial:

\[
(a - b)^2 = a^2 - 2ab + b^2
\]

Here, \(a = 96t\) and \(b = 5\). Now, applying the formula:

\[
(96t - 5)^2 = (96t)^2 - 2(96t)(5) + 5^2
\]

Let's simplify each term:

1. \((96t)^2 = 9216t^2\)
2. \(2(96t)(5) = 960t\)
3. \(5^2 = 25\)

Now, combine these terms:

\[
(96t - 5)^2 = 9216t^2 - 960t + 25
\]

Thus, the simplified expression is:

\[
9216t^2 - 960t + 25
\]

Would you like more details on any step?

Here are 5 related questions to deepen understanding:
1. How would you simplify \((7x + 3)^2\)?
2. What happens when you expand \((2t - 9)^2\)?
3. How do you factor the expression \(4x^2 - 16x + 16\)?
4. How can the formula \((a - b)^2\) be applied in real-world situations?
5. What is the difference between expanding \((a + b)^2\) and \((a - b)^2\)?

**Tip:** When expanding binomials, remember that the middle term comes from twice the product of the two terms!

Simplify the given expression: (96t−5)^2

Learn how to simplify the binomial expression (96t - 5)^2 by applying the binomial expansion formula (a - b)^2 = a^2 - 2ab + b^2. This step-by-step solution covers key algebraic concepts and is suitable for students in Grades 9-11.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation