Final Answer:
The result of subtracting 9x² - 4 from 10x² + 9x - 8 is x² + 9x - 4.
Step-by-step explanation:
In order to subtract the polynomial 9x² - 4 from 10x² + 9x - 8, we need to combine like terms. Starting with the expression 10x² + 9x - 8, we subtract the corresponding terms from 9x² - 4.
First, subtract the coefficients of the x² terms: 10x² - 9x² = x². Next, subtract the coefficients of the x terms: 9x - 0x = 9x. Lastly, subtract the constant terms: -8 - (-4) = -8 + 4 = -4.
Putting it all together, the final result is x² + 9x - 4.
In mathematical terms:
10x² + 9x - 8) - (9x² - 4) = 10x² + 9x - 8 - 9x² + 4
= (10x² - 9x² ) + 9x + (-8 + 4)
= x² + 9x - 4
So, the subtraction of 9x² - 4 from 10x² + 9x - 8 simplifies to x² + 9x - 4.