1 year ago

Please help me solve this with multiplication. Thankl you!

Mathematics

1 answer:

sergij07 [2.7K]1 year ago

8 0

Answer:

1/6x² -1/6x -1/8

Step-by-step explanation:

The distributive property applies. Fractions are multiplied and added in the usual way.

<h3>Product of binomials</h3>

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.

$\left(\dfrac{1}{2}x+\dfrac{1}{4}\right)\left(\dfrac{1}{3}x-\dfrac{1}{2}\right)=\dfrac{2x+1}{4}\cdot\dfrac{2x-3}{6}=\dfrac{1}{24}((2x)(2x-3)+1(2x-3))\\\\=\dfrac{1}{24}(4x^2-6x+2x-3)=\boxed{\dfrac{1}{6}x^2-\dfrac{1}{6}x-\dfrac{1}{8}}$

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