Question

(x+1)(x^4-x^3+x^2-x+1)​

Answer 1

Ответ:

2х во 2 +3х+1

Объяснение:

приведём подобные (х+1)(2х+1) и раскроем скобки

Answer 2

To expand the expression $(x+1)(x^4-x^3+x^2-x+1)$, we can use the distributive property to multiply each term in the first expression by each term in the second expression. Let's go through the steps:

$(x+1)(x^4-x^3+x^2-x+1)$

Expanding the expression using the distributive property:

$x \cdot (x^4-x^3+x^2-x+1) + 1 \cdot (x^4-x^3+x^2-x+1)$

Multiplying each term:

$x^5 - x^4 + x^3 - x^2 + x + x^4 - x^3 + x^2 - x + 1$

Simplifying like terms:

$x^5 + (-x^4 + x^4) + (-x^3 + x^3) + (x^2 - x^2) + (-x + x) + 1$

The terms with opposite signs cancel out, leaving:

$x^5 + 1$

Therefore, $(x+1)(x^4-x^3+x^2-x+1)$ simplifies to $x^5 + 1$.