what is the expression in factored form? 9x^2-4 please shows steps
Mathematics · High School · Tue Nov 03 2020
Answered on
Given the expression:
9x^2 -4
Determine the factored form.
Solution:
The given expression is a difference of two squares, meaning the first term and second term is a perfect square. In order to find it factored form we need to take the square root of the first and second term.
√9x^2 = 3x
We will not include the negative sign in taking the square root of -4
√4 = 2
Now we've know that the two numbers are 3x and 2, we will arrange them as difference of two squares. Difference of two squares can be illustrated as.
(a^2 - b^2) = (a + b) (a - b)
9x^2 - 4 = ( 3x + 4) (3x -4)