24x^4-12x^3+48x^2/-4x
24x^4-12x^3+12(-1)
24x^4-12x^3+(-12x)
2x^4-12x^3-12x
check this problem for me please
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I have a feeling the whole expression is divided by -4x
then you have to write it like this:
(24x^4-12x^3+48x^2)/(-4x)
= -6x^3 + 3x^2 - 12x
or
= -3x(2x^2 - x + 4)
To check the problem, you can simplify the expression and check if it matches the given expression.
Given expression: 24x^4 - 12x^3 + 48x^2 / -4x
First, let's simplify the expression step by step:
1. Simplify the numerator:
24x^4 - 12x^3 + 48x^2
2. Simplify the denominator:
-4x
To simplify, divide each term in the numerator by the denominator:
(24x^4 / -4x) - (12x^3 / -4x) + (48x^2 / -4x)
When dividing variables with the same base, subtract the exponents:
-6x^3 + 3x^2 - 12
So, the simplified expression is:
-6x^3 + 3x^2 - 12
Now, compare this simplified expression with the given expression:
2x^4 - 12x^3 - 12x
The simplified expression does not match the given expression.
Therefore, the given expression 24x^4 - 12x^3 + 48x^2 / -4x is not equivalent to 2x^4 - 12x^3 - 12x.