Simplify: start fraction, minus, 3, x, to the power 4 , plus, 21, x, cubed, minus, 12, x, squared, divided by, 3, x, end fraction
3x
−3x
4
+21x
3
−12x
2
Solve the problem just like the example below
⬇️
Simplify:
start fraction, minus, 18, z, to the power 5 , plus, 3, z, to the power 4 , plus, 18, z, cubed, plus, 9, z, squared, divided by, minus, 3, z, squared, end fraction
−3z
2
−18z
5
+3z
4
+18z
3
+9z
2
minus, start fraction, 18, z, to the power 5 , divided by, minus, 3, z, squared, end fraction, plus, start fraction, 3, z, to the power 4 , divided by, minus, 3, z, squared, end fraction, plus, start fraction, 18, z, cubed, divided by, minus, 3, z, squared, end fraction, plus, start fraction, 9, z, squared, divided by, minus, 3, z, squared, end fraction
−
−3z
2
18z
5
+
−3z
2
3z
4
+
−3z
2
18z
3
+
−3z
2
9z
2
minus, left parenthesis, minus, 6, z, cubed, right parenthesis, plus, left parenthesis, minus, z, squared, right parenthesis, plus, left parenthesis, minus, 6, z, right parenthesis, plus, left parenthesis, minus, 3, right parenthesis
−(−6z
3
)+(−z
2
)+(−6z)+(−3)
6, z, cubed, minus, z, squared, minus, 6, z, minus, 3
6z
3
−z
2
−6z−3
1 answer
Sure! Let’s simplify the expression step by step in the same way as your example.
Given expression:
\[
\text{Simplify: } \frac{-3x^4 + 21x^3 - 12x^2}{3x}
\]
We can break this down into individual fractions:
\[
\frac{-3x^4}{3x} + \frac{21x^3}{3x} - \frac{12x^2}{3x}
\]
Now, simplifying each fraction individually:
\[
\frac{-3x^4}{3x} = -x^{4-1} = -x^3
\]
\[
\frac{21x^3}{3x} = 7x^{3-1} = 7x^2
\]
\[
\frac{-12x^2}{3x} = -4x^{2-1} = -4x
\]
Now we combine the simplified terms:
\[
-x^3 + 7x^2 - 4x
\]
Therefore, the simplified expression is:
\[
\boxed{-x^3 + 7x^2 - 4x}
\]
