Final answer:
The expression 36x^(2)-49y^(2) is a difference of squares and can be factored using the difference of squares rule into (6x + 7y)(6x - 7y).
Step-by-step explanation:
The expression 36x^(2)-49y^(2) is a binomial expression that can be factored using the difference of squares rule. This rule states that any difference of squares can be factored into the the product of the sum and difference of the two terms. Hence the factored form of the binomial 36x^(2)-49y^(2) will be:
(6x + 7y)(6x - 7y)
To arrive at this result, we compute the square roots of both terms, which are 6x and 7y respectively. Then we apply the rule to these terms, ie. (square root of the first term + square root of the second term)(square root of the first term - square root of the second term)
Learn more about Factoring binomials