Question

3ab(4a - 5b) + 4b²(2a² + 1) =

Explanation:

Step1: Expand first term

$3ab(4a - 5b) = 3ab \cdot 4a - 3ab \cdot 5b = 12a^2b - 15ab^2$

Step2: Expand second term

$4b^2(2a^2 + 1) = 4b^2 \cdot 2a^2 + 4b^2 \cdot 1 = 8a^2b^2 + 4b^2$

Step3: Combine expanded terms

Add the results of Step1 and Step2

Answer:

$12a^2b - 15ab^2 + 8a^2b^2 + 4b^2$