Question

Y=(x 4)(x^2 3x 2)/x 1

Answer 1

Никакие знаки не поставлены поэтому я сделала так.Решение на фото

Answer 2

It seems like you have an expression involving polynomials that you would like to simplify. To make sure I understand the expression correctly, I'll rewrite it with proper formatting:

Y = (x^4)(x^2 + 3x + 2) / (x - 1)

To simplify this expression, we can start by factoring the numerator and denominator:

Numerator: x^4 * (x^2 + 3x + 2)

We can factor the quadratic expression x^2 + 3x + 2: x^2 + 3x + 2 = (x + 1)(x + 2)

So, the numerator becomes: x^4 * (x + 1)(x + 2)

Denominator: x - 1

Now we have the expression in factored form:

Y = [x^4 * (x + 1)(x + 2)] / (x - 1)

At this point, we can check if there are any common factors between the numerator and denominator that can be canceled out:

Notice that (x - 1) is a common factor between the numerator and denominator. We can cancel it out:

Y = [x^4 * (x + 1)(x + 2)] / (x - 1) = [x^4 * (x + 1)(x + 2)] / (x - 1) * (x + 1) / (x + 1) = [x^4 * (x + 1)(x + 2)(x + 1)] / [(x - 1)(x + 1)]

Now, let's expand the numerator:

Y = [x^4 * (x + 1)(x + 2)(x + 1)] / [(x - 1)(x + 1)] = [x^4 * (x^2 + 3x + 2)(x + 1)] / [(x - 1)(x + 1)]

Now, we can see that (x + 1) is a common factor between the numerator and denominator, and we can cancel it out as well:

Y = [x^4 * (x^2 + 3x + 2)(x + 1)] / [(x - 1)(x + 1)] * 1 / (x + 1) = [x^4 * (x^2 + 3x + 2)] / (x - 1)

So the simplified expression for Y is:

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