Question

5х³-5(х-3)*(9+3х+х²)=​

Answer 1

5x³ - 5(x - 3)(9 + 3x + x²) = 5x³ - 5(x² - 3³) = 5x³ - 5(x³ - 27) =

= 5x³ - 5x³ + 135 = 135

Answer 2

To simplify the expression, let's follow the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction):

Given expression: $5x^3 - 5(x - 3)(9 + 3x + x^2)$

First, let's expand the second term within the parentheses:

$5x^3 - 5(x - 3)(9 + 3x + x^2) \\ = 5x^3 - 5(9x + 27 + 3x^2 - 3x - 9) \\ = 5x^3 - 45x - 135 - 15x^2 + 15x + 45$

Now, let's combine like terms:

$5x^3 - 45x - 135 - 15x^2 + 15x + 45 \\ = 5x^3 - 15x^2 - 45x + 15x - 135 + 45 \\ = 5x^3 - 15x^2 - 30x - 90$

So, the simplified expression is $5x^3 - 15x^2 - 30x - 90$.