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Answer:
12[tex]x^{5}[/tex] + 36[tex]x^{4}[/tex] + 30x³ + 18x² + 54x + 45
Step-by-step explanation:
When evaluating two brackets of terms, you can multiply the first term in the first bracket to every term in the second bracket. Then, you multiply the next term in the first bracket to every term in the second bracket until all the terms in the first bracket has multiplied with every term in the second bracket.
(6x³ + 9) (2x² + 6x + 5) = (6x³ × 2x²) + (6x³ × 6x) + (6x³ × 5) + (9 × 2x²) + (9 × 6x) + (9 × 5)
= 12[tex]x^{5}[/tex] + 36[tex]x^{4}[/tex] + 30x³ + 18x² + 54x + 45
Note that when a term with an exponential is multiplied with another term with an exponential, the answer is the product of the terms with the power of the sum of the exponentials.