Question

SIMPLIFY=24a^4-12a^2 divided by 4a

Answer 1

To simplify the expression \(\frac{24a^4 - 12a^2}{4a}\), follow these steps:

1. Factor out the common terms in the numerator:
\[
24a^4 - 12a^2 = 12a^2(2a^2 - 1)
\]

2. Substitute this back into the fraction:
\[
\frac{12a^2(2a^2 - 1)}{4a}
\]

3. Now, simplify the fraction by dividing the numerator and denominator by \(4a\):
\[
= \frac{12a^2}{4a} \cdot (2a^2 - 1)
\]
\[
= 3a(2a^2 - 1)
\]

Therefore, the simplified form is:
\[
3a(2a^2 - 1)
\]