Question
Factor 9x^2-4y^2 a) (3x-2y)^2 b) (3x-2)(3x+2) c) None of these. d) (3x-2y)(3x+2y)
Solution
3.5
(287 Votes)
Teagan
Professional ยท Tutor for 6 years
Answer
### d)
Explanation
## Step 1: Identifying the pattern### The given expression
is a difference of two squares, since
and
.## Step 2: Applying the difference of squares formula### The difference of squares formula states that
. In our case,
and
. Therefore,
.## Step 3: Verifying the factorization### We can verify the factorization by expanding the result:
.