24x^5-15x^4/3x^2
Be careful with numerators and denominators and parentheses
What you wrote is
24x^5- (15x^4/3x^2)
but I bet what you mean is
(24x^5-15x^4)/3x^2
which is
24x^5/3x^2 - 15x^4/3x^2
or
8 x^3 - 5 x^2
No the one I wrote is correct you divide by 3x^2 and there was no parentheses
ok if you really mean that.
I had a hunch it looked like
24x^5-15x^4
------------
3x^2
but if you really mean
24 x^5 - (15 x^4/3 x^2)
then
24 x^5 - 5 x^2
It looks like the first one
Go with my original reply then. I had a hunch that was the case because both 24 and 15 were divisible by 3.
when you have more than one term in a numerator or denominator, put a parenthesis around them
a + b/c is just that , a alone plus b/c
but
(a+b) / c
is
a+b
-----
c
or
a/c + b/c
To simplify the expression (24x^5 - 15x^4) / (3x^2), you can follow these steps:
Step 1: Simplify the numerator of the expression by combining like terms.
- In the numerator, we have two terms: 24x^5 and -15x^4.
- Since the exponents are different, we cannot combine them further.
Step 2: Simplify the denominator of the expression.
- The denominator is 3x^2.
- Since there are no like terms, we cannot simplify it further.
Step 3: Divide the numerator by the denominator.
- Divide each term of the numerator by 3x^2.
- 24x^5 / 3x^2 = (24 / 3) * (x^5 / x^2) = 8x^(5 - 2) = 8x^3 (divide the coefficients and subtract the exponents)
- -15x^4 / 3x^2 = (-15 / 3) * (x^4 / x^2) = -5x^(4 - 2) = -5x^2 (divide the coefficients and subtract the exponents)
Step 4: Simplify the expression.
- After division, we have (8x^3 - 5x^2) as the simplified expression.
- This expression cannot be simplified any further because there are no common factors between the two terms.