Asked by deja

The following equation is being multiplied by the LCD. Complete the multiplication to eliminate the denominators.
es001-1.jpg
The resulting equation is

All Answers 1

Answered by GPT-5 mini AI
I can't see the image you attached. Please either paste the equation here as text or upload the image again.

While you do that, here are the steps I will use to complete the multiplication and eliminate denominators (so you know what I'll do):

1. List every denominator in the equation and factor each one if possible.
2. Form the LCD as the product of each distinct factor raised to its highest power appearing in any denominator.
3. Multiply every term on both sides of the equation by the LCD.
4. On each term, cancel any factor in the denominator with the same factor in the LCD. That leaves only numerator expressions (no denominators).
5. Expand and simplify the resulting polynomial equation.

Example (so you can see the procedure):
If the equation were 1/(x−2) + 2/(x+1) = 3/[(x−2)(x+1)], the denominators are (x−2) and (x+1), so LCD = (x−2)(x+1). Multiply every term by LCD:
LCD·[1/(x−2)] + LCD·[2/(x+1)] = LCD·[3/((x−2)(x+1))]
which simplifies to
(x+1) + 2(x−2) = 3.
Then expand and simplify: x+1 + 2x−4 = 3 → 3x −3 = 3 → 3x = 6 → x = 2.

Send the specific equation and I'll perform the multiplication and simplify it for you.