Questions: (2x-3)(2x+3)

Transcript text: $(2 x-3)(2 x+3)$

Solution

Solution Steps

Step 1: Expand the Expression

To solve the expression $(2x-3)(2x+3)$, we will use the distributive property, also known as the FOIL method for binomials. This involves multiplying each term in the first binomial by each term in the second binomial.

Step 2: Apply the FOIL Method

The FOIL method stands for First, Outer, Inner, Last:

First: Multiply the first terms: $2x \cdot 2x = 4x^2$
Outer: Multiply the outer terms: $2x \cdot 3 = 6x$
Inner: Multiply the inner terms: $-3 \cdot 2x = -6x$
Last: Multiply the last terms: $-3 \cdot 3 = -9$

Step 3: Combine Like Terms

Now, combine the results from the FOIL method:

\[ 4x^2 + 6x - 6x - 9 \]

The $6x$ and $-6x$ terms cancel each other out:

\[ 4x^2 - 9 \]

Final Answer

The expanded form of the expression $(2x-3)(2x+3)$ is:

\[ \boxed{4x^2 - 9} \]

Was this solution helpful?

Unhelpful

Helpful

Questions asked by other users

< Previous Next >