Problem:
6-3x 25
---- * ----
5 4x-8
*I have to multiply the expression and simplify it.Thanks for your help.
The five goes into the twenty five, and you can factor out a three from the first term in the numerator, and a two from the second term in the denominator. Then, notice the numerator, that term can be written as (-3)(x-2). Notice now, the x-2 can divide out the denominator.
To multiply and simplify the expression:
1. Start by factoring out the common factors, if any. In this case, the factors to consider are 5, 3, and 2.
The numerator, 6 - 3x, can be factored as 3(2 - x).
The denominator, 4x - 8, can be factored as 4(x - 2).
So, now the expression becomes: (3(2 - x))/(5 * 4(x - 2))
2. Simplify further by canceling out any common factors between the numerator and denominator.
Notice that (2 - x)/(x - 2) can be simplified by multiplying both the numerator and denominator by -1.
This gives (-1)(x - 2)/(-1)(x - 2), resulting in (x - 2)/(x - 2).
3. Simplify the remaining expression.
Since the numerator and denominator are the same, (x - 2)/(x - 2) equals 1.
4. Apply the remaining factors from the original expression.
We had the remaining factors of 3 and 20, so the final simplified expression is:
3 * 20 * 1.
Calculating the final answer, we have:
3 * 20 * 1 = 60.
Therefore, the simplified expression is 60.