Answer:
1/6x² -1/6x -1/8
Step-by-step explanation:
The distributive property applies. Fractions are multiplied and added in the usual way.
Product of binomials
The distributive property is used to eliminate parentheses. It can be convenient to write the fractions with a common denominator, then simplify the final product.
[tex]\left(\dfrac{1}{2}x+\dfrac{1}{4}\right)\left(\dfrac{1}{3}x-\dfrac{1}{2}\right)=\dfrac{2x+1}{4}\cdot\dfrac{2x-3}{6}=\dfrac{1}{24}((2x)(2x-3)+1(2x-3))\\\\=\dfrac{1}{24}(4x^2-6x+2x-3)=\boxed{\dfrac{1}{6}x^2-\dfrac{1}{6}x-\dfrac{1}{8}}[/tex]
