Question

Упростите выражение (1 - 3x)(1 - 4x + x^2) + (3x - 1)(1 - 5x + x^2) + 3x^2 PS помогите пожалуйста СРОЧНО!!!! Даю 20 баллов

Answer 1

1-4х+х^2-3x+12x^2-3x^3+3x-15x^2+3x^3-1+5x-x^2+3x^2=-4x+5x=x

Answer 2

Simplifying the Expression

To simplify the expression (1 - 3x)(1 - 4x + x^2) + (3x - 1)(1 - 5x + x^2) + 3x^2, we can follow the steps below:

1. Expand each pair of parentheses. 2. Combine like terms. 3. Simplify the resulting expression.

Let's go through each step in detail.

Step 1: Expand the Parentheses To expand the first pair of parentheses, we multiply each term in the first expression by each term in the second expression:

(1 - 3x)(1 - 4x + x^2) = 1 * (1 - 4x + x^2) - 3x * (1 - 4x + x^2)

Simplifying the first part of the expression: = 1 - 4x + x^2

Simplifying the second part of the expression: = -3x + 12x^2 - 3x^3

Now, let's expand the second pair of parentheses:

(3x - 1)(1 - 5x + x^2) = 3x * (1 - 5x + x^2) - 1 * (1 - 5x + x^2)

Simplifying the first part of the expression: = 3x - 15x^2 + 3x^3

Simplifying the second part of the expression: = -1 + 5x - x^2

Step 2: Combine Like Terms Now that we have expanded both pairs of parentheses, we can combine like terms:

(1 - 4x + x^2) - 3x + 12x^2 - 3x^3 + 3x - 15x^2 + 3x^3 - 1 + 5x - x^2

Combining like terms: = 1 - 4x + x^2 - 3x + 3x + 12x^2 - 15x^2 + 5x - 1 - x^2 + 3x^3 + 3x^3

Simplifying further: = -4x + 12x^2 - 15x^2 + 5x - x^2 + 3x^3 + 3x^3

Step 3: Simplify the Expression Now, let's simplify the expression by combining like terms:

= -4x + 12x^2 - 15x^2 + 5x - x^2 + 3x^3 + 3x^3

Combining like terms: = -4x + 12x^2 - 15x^2 + 5x - x^2 + 3x^3 + 3x^3

Simplifying further: = -4x + 12x^2 - 15x^2 + 5x - x^2 + 3x^3 + 3x^3

Therefore, the simplified expression is -4x + 12x^2 - 15x^2 + 5x - x^2 + 3x^3 + 3x^3.

Please note that the search results provided by You.com did not contain any relevant information for this specific question.