Answer:
To multiply the expressions (6x + 4) and (5x - 9) using distribution, you need to multiply each term in the first expression by each term in the second expression. This will result in four products, and when you simplify them, you will find the middle term of your trinomial.
(6x + 4)(5x - 9) = (6x)(5x) + (6x)(-9) + (4)(5x) + (4)(-9)
Now, calculate each of these products:
(6x)(5x) = 30x^2
(6x)(-9) = -54x
(4)(5x) = 20x
(4)(-9) = -36
Now, simplify the sum of these products:
30x^2 - 54x + 20x - 36
Combine like terms:
30x^2 - 34x - 36
The middle term of your simplified trinomial is -34x, which is the result of combining the terms -54x and 20x.
Explanation: