Simplify the polynominal expression (xy-2)(x^2+1)
The simplified form of the polynomial expression (xy-2)(x^2+1) is x^3y + xy - 2x^2 - 2.
To simplify the polynomial expression (xy - 2)(x^2 + 1), we can use the distributive property of multiplication over addition.
Expanding the expression, we multiply each term in the first polynomial (xy - 2) by each term in the second polynomial (x^2 + 1):
xy * x^2 + xy * 1 - 2 * x^2 - 2 * 1
This simplifies to:
x^3y + xy - 2x^2 - 2
Therefore, the simplified polynomial expression is x^3y + xy - 2x^2 - 2.
To simplify the given polynomial expression (xy-2)(x^2+1), you need to distribute the terms following the distributive property of multiplication.
First, distribute the (xy-2) to each term in the (x^2+1):
(xy-2) * x^2 + (xy-2) * 1
Now, multiply each term by the corresponding terms in the other set of parentheses:
(xy * x^2) + (-2 * x^2) + (xy * 1) + (-2 * 1)
Simplify the products and combine like terms:
xy^3 - 2x^2 + xy - 2
So, the simplified polynomial expression is xy^3 - 2x^2 + xy - 2.