Final answer:
To write the result in standard form, we need to combine like terms and arrange the terms in descending order of their exponents. The result in standard form is -8.3x³ + 0.3x² - 21.
Step-by-step explanation:
To write the result in standard form, we need to combine like terms and arrange the terms in descending order of their exponents. To begin, let's combine the like terms:
(15x² - 3) + (-8.3x³ - 14.7x² - 18)
= 15x² - 8.3x³ - 3 - 14.7x² - 18
= -8.3x³ + (15x² - 14.7x²) - (3 + 18)
= -8.3x³ + 0.3x² - 21
Now, let's rearrange the terms in descending order of their exponents:
= -8.3x³ + 0.3x² - 21
So, the result in standard form is -8.3x³ + 0.3x² - 21.