Simplify the polynomial expression (xy−2)(x2+1)

Question

.(2 points)

Answer 1

To simplify the polynomial expression \((xy - 2)(x^2 + 1)\), we will apply the distributive property (also known as the FOIL method for binomials).

1. Distribute \(xy\) to both terms in \((x^2 + 1)\): \[ xy \cdot x^2 + xy \cdot 1 = xyx^2 + xy = xy^2 + xy \]

2. Distribute \(-2\) to both terms in \((x^2 + 1)\): \[ -2 \cdot x^2 + (-2) \cdot 1 = -2x^2 - 2 \]

3. Now combine all the terms together: \[ xy^2 + xy - 2x^2 - 2 \]

So, the simplified polynomial expression is: \[ xy^2 + xy - 2x^2 - 2 \]

Answer 2

what is Infrontt of xy

Answer 3

In the expression \(xy^2 + xy - 2x^2 - 2\), the term in front of \(xy\) is \(1\). Therefore, you can say that the coefficient of \(xy\) is \(1\).

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