Question

Divide the polynomial (20a³b²-32a²b-12ab²)-:(4ab)

Answer 1

To divide the polynomial (20a³b²-32a²b-12ab²) by 4ab, separate each term of the polynomial and divide them by 4ab resulting in the simplified expression 5a²b - 8a - 3b.

Step-by-step explanation:

The student has asked for help in dividing the polynomial (20a³b²-32a²b-12ab²) by 4ab. To divide the polynomial by 4ab, we will separate each term of the polynomial and divide them individually by 4ab.

Step-by-step solution:

1. Divide the first term 20a³b² by 4ab, which results in 5a²b.
2. Divide the second term -32a²b by 4ab, resulting in -8a.
3. Divide the third term -12ab² by 4ab, which simplifies to -3b.

The result of the division is 5a²b - 8a - 3b.