Final answer:
To find the product of (3a-2)(6a+5) and write the answer in standard form, use the distributive property to multiply the terms in the parentheses. Simplify and combine like terms to obtain the final answer: 18a² + 3a - 10.
Step-by-step explanation:
To find the product of (3a-2)(6a+5) and write the answer in standard form, we use the distributive property. First, multiply the terms in the parentheses:
(3a-2)(6a+5) = 3a * 6a + 3a * 5 - 2 * 6a - 2 * 5
Simplifying, we get:
18a² + 15a - 12a - 10
Combining like terms:
18a² + 3a - 10
So, the product in standard form is 18a² + 3a - 10.
Learn more about Multiplying Polynomials