Exercise
$\left(4vt^3-2ab^3\right)^2$
Step-by-step Solution
Learn how to solve differential calculus problems step by step online. Expand the expression (4vt^3-2ab^3)^2. A binomial squared (difference) is equal to the square of the first term, minus the double product of the first by the second, plus the square of the second term. In other words: (a-b)^2=a^2-2ab+b^2. The power of a product is equal to the product of it's factors raised to the same power. The power of a product is equal to the product of it's factors raised to the same power. .
Expand the expression (4vt^3-2ab^3)^2
Final answer to the exercise
$16v^2t^{6}-16vt^3ab^3+a^2\left(-2b^3\right)^2$