Question

(x+1)*(x²-x+1)-x*(x+3)*(x-3) ​

Answer 1

Ответ:

Распространять:

= (x) (x2) + (x) (- x) + (x) (1) + (1) (x2) + (1) (- x) + (1) (1) + - x3 + 9x

= x3 + −x2 + x + x2 + −x + 1 + −x3 + 9x

Объедините похожие термины:

= x3 + −x2 + x + x2 + −x + 1 + −x3 + 9x

= (x3 + −x3) + (- x2 + x2) + (x + −x + 9x) + (1)

= 9x + 1

Объяснение:

Answer 2

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

1. Expand the brackets: $(x+1)(x^2 - x + 1) - x(x + 3)(x - 3)$ $= (x^3 - x^2 + x) + (x^2 - x + 1) - (x^3 - 9x)$ $= x^3 - x^2 + x + x^2 - x + 1 - x^3 + 9x$

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

So, the simplified form of the given expression is $9x + 1$.