Question

Упрости выражение. 1. (x-2)(x-11)-2x(4-3x) = 2. 2(x²+2y)(x³+7y)-2x²(x³-3y) Пожалуйста помогите, всего 10 баллов осталось.

Answer 1

Ответ:

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Answer 2

Simplifying the Expression

To simplify the given expression, let's start by expanding and combining like terms:

1. Expand and simplify the first term, (x-2)(x-11): - (x-2)(x-11) = x*x - 11*x - 2*x + 2*11 - = x^2 - 11x - 2x + 22 - = x^2 - 13x + 22

2. Expand and simplify the second term, -2x(4-3x): - -2x(4-3x) = -2x*4 + 2x*3x - = -8x + 6x^2

3. Expand and simplify the third term, 2(x²+2y)(x³+7y): - 2(x²+2y)(x³+7y) = 2(x^2+2y)(x^3+7y) - = 2(x^2*x^3 + x^2*7y + 2y*x^3 + 2y*7y) - = 2(x^5 + 7xy + 2xy^3 + 14y^2)

4. Expand and simplify the fourth term, -2x²(x³-3y): - -2x²(x³-3y) = -2x^2*x^3 + 2x^2*3y - = -2x^5 + 6x^2y

Now, let's combine all the simplified terms:

(x^2 - 13x + 22) - (8x - 6x^2) + 2(x^5 + 7xy + 2xy^3 + 14y^2) - 2x^5 + 6x^2y

Simplifying further:

x^2 - 13x + 22 - 8x + 6x^2 + 2x^5 + 14xy + 4xy^3 + 28y^2 - 2x^5 + 6x^2y

Combining like terms:

4x^2 - 7x + 22 + 14xy + 4xy^3 + 28y^2 + 6x^2y

So, the simplified expression is 4x^2 - 7x + 22 + 14xy + 4xy^3 + 28y^2 + 6x^2y.

Please note that the given expression does not equal 2, as stated in the question. If you have any further questions, feel free to ask!