Respuesta :
The product of factors is [tex]49x^2 - 9[/tex]. Option C shows the correct expression of the product.
What is a product?
A product is the result of multiplication or an expression that identifies factors to be multiplied.
Given factors are (7x − 3) (7x + 3).
We need to find out the product of the given factors.
Product = [tex](7x - 3)\times (7x + 3)[/tex]
Product = [tex]7x (7x +3) - 3 (7x + 3)[/tex]
Product = [tex]49 x^2 + 21 x - ( 21 x + 9)[/tex]
Product = [tex]49x^2 + 21x - 21 x - 9[/tex]
Product = [tex]49x^2 - 9[/tex]
The given factors are a difference of squares, where
[tex]a^2 - b^2 = (a + b)(a - b)[/tex]
We can directly simplify the factors by using the above formula where a = 7x and b = 3.
[tex](7x -3)(7x + 3) = (7x)^2 - (3)^2[/tex]
[tex](7x -3)(7x + 3) = 49 x^2 - 9[/tex]
Hence we can conclude that the product of factors is [tex]49x^2 - 9[/tex]. Option C shows the correct expression of the product.
To know more about the product, follow the link given below.
https://brainly.com/question/1969315.
Answer:
I believe the correct answer is 49x² - 9
Step-by-step explanation:
(7x - 3)(7x + 3)
(49x²+21x-21x-9)
49x² - 9
