Answer:
The expression in factored form is (3x - 7)(3x + 7)
Step-by-step explanation:
Here in this question, we are interested in using the difference of two squares to factor the given expression.
Mathematically, supposed we have two squares a^2 and b^2, and we are told to factorize a^2-b^2.
By using the difference of two squares;
a^2-b^2 can thus be written as;
(a-b)(a + b)
Now, we can apply same approach to the problem at hand.
9x^2 - 49
kindly note that 9x^2 can be written as ((3x)^2 and 49 can be written as 7^2
So applying what we have said earlier about difference of two squares;
9x^2 - 49 will be ;
(3x-7)(3x + 7)
