Factorize and simplify
16a⁴-24a²b³+9b⁶
This expression can be factored as follows:
16a^4 - 24a^2b^3 + 9b^6
Factoring this expression, we get:
(4a^2 - 3b^3)(4a^2 - 3b^3)
This can be further simplified by noticing that both sets of parentheses are the same and square of a binomial results in:
(4a^2 - 3b^3)^2
Therefore, the factorized and simplified form of the expression is:
(4a^2 - 3b^3)^2