Question

multiply.
(3x + 3)(5x² + 4x + 9)
the answer is
(simplify your answer.)

Explanation:

Step1: Distribute 3x

Multiply \(3x\) with each term in \(5x^2 + 4x + 9\):
\(3x \cdot 5x^2 = 15x^3\), \(3x \cdot 4x = 12x^2\), \(3x \cdot 9 = 27x\).

Step2: Distribute 3

Multiply \(3\) with each term in \(5x^2 + 4x + 9\):
\(3 \cdot 5x^2 = 15x^2\), \(3 \cdot 4x = 12x\), \(3 \cdot 9 = 27\).

Step3: Combine like terms

Add the results from Step1 and Step2:
\(15x^3 + 12x^2 + 27x + 15x^2 + 12x + 27\)
Combine \(12x^2\) and \(15x^2\): \(27x^2\)
Combine \(27x\) and \(12x\): \(39x\)
Final expression: \(15x^3 + 27x^2 + 39x + 27\).

Answer:

\(15x^3 + 27x^2 + 39x + 27\)