find the product. (5x-6y)(5x+6y)
(5x -6y) (5x+6y)
25x^2 + 30xy -30xy -36y^2
25x^2 - 30y^2
(a-b)(a+b) = a^2 - b^2.
(5x-6y)(5x+6y) = 25x^2-36y^2).
To find the product of two binomials, you can use the distributive property. The distributive property states that for any numbers or variables a, b, c, and d, the product of (a + b) and (c + d) can be found by multiplying each term of the first binomial by each term of the second binomial and combining like terms.
Let's apply this to the given binomials: (5x - 6y)(5x + 6y)
First, let's multiply the first terms of each binomial: (5x)(5x) = 25x^2
Next, let's multiply the outer terms: (5x)(6y) = 30xy
Then, let's multiply the inner terms: (-6y)(5x) = -30xy
Finally, let's multiply the last terms: (-6y)(6y) = -36y^2
Now, we can combine the like terms: 25x^2 + 30xy - 30xy - 36y^2
Since the middle terms (30xy and -30xy) cancel each other out, we are left with:
25x^2 - 36y^2
Therefore, the product of (5x - 6y)(5x + 6y) is 25x^2 - 36y^2.