Factorize and simplify

Question

16a⁴-24a²b³+9b⁶

Answer 1

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