Question

( x+1)(x²-x+1)-x(x+3)(x-3)​

Answer 1

Объяснение:

(x+1)(x²-x+1)-x(x+3)(x-3)

Раскрываем скобки...

x³+1-x³-9

Сокращаем слогаемые x³...

Ответ: 1+9x

Хорошего для ( ´◡‿ゝ◡`)

Answer 2

To simplify the expression $(x+1)(x^2-x+1) - x(x+3)(x-3)$, you can start by distributing and then combining like terms. Let's break it down step by step:

1. Distribute terms in the first expression: $(x+1)(x^2-x+1) = x(x^2-x+1) + 1(x^2-x+1)$ This results in $x^3 - x^2 + x + x^2 - x + 1$.

2. Distribute terms in the second expression: $x(x+3)(x-3) = x(x^2-3x+3x-9)$ This results in $x^3 - 9x$.

3. Combine like terms: Now, subtract the second expression from the first: $(x^3 - x^2 + x + x^2 - x + 1) - (x^3 - 9x)$

   Simplify the expression by combining like terms: $(x^3 - x^3) + (-x^2 + x^2) + (x + x) + 1 + 9x$

   The $x^3$ terms cancel out, and you're left with $2x + 1 + 9x$.

4. Combine like terms again: $2x + 1 + 9x = 11x + 1$

Therefore, $(x+1)(x^2-x+1) - x(x+3)(x-3)$ simplifies to $11x + 1$.