Answer:
the simplified expression is 13x^2 - 23x - 18.
Explanation:
To simplify the expression (3x + 2)(x - 9) + 2x(4x + 1), we can apply the distributive property and then combine like terms. Let's break it down step by step:
Step 1: Expand the expression using the distributive property.
(3x + 2)(x - 9) + 2x(4x + 1)
= (3x)(x) + (3x)(-9) + (2)(x) + (2)(-9) + (2x)(4x) + (2x)(1)
Step 2: Simplify each term.
= 3x^2 - 27x + 2x - 18 + 8x^2 + 2x
Step 3: Combine like terms.
= 3x^2 + 8x^2 + 2x^2 - 27x + 2x + 2x - 18
= 13x^2 - 23x - 18