27a squared b cube - 36a cube b squared + 18 a squared b squared + 9 a to the 4th b cube

write it this way:

27a^2b^3 - 36a^3b^2 + 18a^2b^2 + 9a^4b^3
are you factoring ?

if so, then ...

= 9a^2b^2(3b - 4a + 2 + a^2b)

55gj

To simplify the given expression:

Step 1: Factor out the greatest common factor (GCF) from each term. In this case, the GCF is a squared b cube.

27a squared b cube = (3a squared b cube)
- 36a cube b squared = (- 6a cube b squared) * (6 is the GCF of 36 and 18)
+ 18 a squared b squared = (6a squared b squared) * (3 is the GCF of 18 and 9)
+ 9 a to the 4th b cube = (9 a to the 4th b cube)

Now, we can rewrite the expression:

3a squared b cube - 6a cube b squared + 6a squared b squared + 9 a to the 4th b cube

Step 2: Combine like terms. Terms with the same variables and exponents can be combined by adding or subtracting their coefficients.

(a squared b cube) and (a to the 4th b cube) have no like terms, so they remain separate.

3a squared b cube - 6a cube b squared + 6a squared b squared + 9 a to the 4th b cube

The final simplified expression is:

3a squared b cube - 6a cube b squared + 6a squared b squared + 9 a to the 4th b cube