Question

(x+1)(x^2+x+1)-x(x-3)(x+3)​

Answer 1

Ответ:

-x^3+x^2+10x+1(это преобразование)

Answer 2

To simplify the given expression $(x+1)(x^2+x+1) - x(x-3)(x+3)$, you can follow these steps:

1. Expand each term within the parentheses.
2. Distribute the terms and simplify.

Let's go through it step by step:

$(x+1)(x^2+x+1)$: $= x(x^2+x+1) + 1(x^2+x+1)$ $= x^3 + x^2 + x + x^2 + x + 1$ $= x^3 + 2x^2 + 2x + 1$

Now, $- x(x-3)(x+3)$: $= -x(x^2+3x-3x-9)$ $= -x(x^2-9)$ $= -x^3 + 9x$

Now, subtract the second expression from the first one: $(x+1)(x^2+x+1) - x(x-3)(x+3) = x^3 + 2x^2 + 2x + 1 - (-x^3 + 9x)$

Combine like terms: $= x^3 + 2x^2 + 2x + 1 + x^3 - 9x$

Combine like terms again: $= 2x^3 - 7x^2 - 7x + 1$

So, $(x+1)(x^2+x+1) - x(x-3)(x+3)$ simplifies to $2x^3 - 7x^2 - 7x + 1$.