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: \[ 3a(2a^2 - 1) \]