(-1%2F2xy).jpeg "(-10x^3+2/5y-1/3z)(-1/2xy)")
Simplifying the Expression (-10x^3 + 2/5y - 1/3z)(-1/2xy)
This problem involves multiplying a trinomial by a binomial. To simplify this expression, we'll use the distributive property.
Step 1: Distribute the binomial to each term of the trinomial
(-10x^3 + 2/5y - 1/3z)(-1/2xy) = (-1/2xy)(-10x^3) + (-1/2xy)(2/5y) + (-1/2xy)(-1/3z)
Step 2: Simplify each term
- (-1/2xy)(-10x^3) = 5x^4y
- (-1/2xy)(2/5y) = -1/5xy^2
- (-1/2xy)(-1/3z) = 1/6xyz
Step 3: Combine the simplified terms
5x^4y - 1/5xy^2 + 1/6xyz
Therefore, the simplified expression is 5x^4y - 1/5xy^2 + 1/6xyz.