what is the product of the expression below?
(2x-5)(2x-3)
To find the product of the given expression, (2x-5)(2x-3), you need to apply the distributive property of multiplication.
First, multiply the first terms of both sets of parentheses:
(2x) * (2x) = 4x^2
Next, multiply the outer terms:
(2x) * (-3) = -6x
Then, multiply the inner terms:
(-5) * (2x) = -10x
Lastly, multiply the last terms of both sets of parentheses:
(-5) * (-3) = 15
Now sum up all the results:
4x^2 - 6x - 10x + 15
Combine like terms:
4x^2 - 16x + 15
So, the product of the expression (2x-5)(2x-3) is 4x^2 - 16x + 15.