Final answer:
To find the indicated product of (4x+5)(x+9), apply the distributive property and simplify the expression.
Step-by-step explanation:
To find the indicated product of (4x+5)(x+9), we can use the distributive property. This property states that for any numbers a, b, and c, (a+b) imes c = a imes c + b imes c. Applying this property to our expression, we get:
(4x+5)(x+9) = 4x imes x + 4x imes 9 + 5 imes x + 5 imes 9
Simplifying this gives us the final product: 4x^2 + 36x + 5x + 45. Combining like terms, we get the answer: 4x^2 + 41x + 45.