Exercise
$\left(\frac{2}{3}x^{3}-5\right)\de\left(4x^{2}-\frac{2}{3}x^{3}+8x-4\right)$
Step-by-step Solution
Learn how to solve simplification of algebraic expressions problems step by step online. Expand the expression (2/3x^3-5)(4x^2-2/3x^38x+-4). Multiply the single term 4x^2-\frac{2}{3}x^3+8x-4 by each term of the polynomial \left(\frac{2}{3}x^3-5\right). Multiply the single term -5 by each term of the polynomial \left(4x^2-\frac{2}{3}x^3+8x-4\right). Simplifying. Solve the product \frac{2}{3}x^3\left(4x^2-\frac{2}{3}x^3+8x-4\right).
Expand the expression (2/3x^3-5)(4x^2-2/3x^38x+-4)
Final answer to the exercise
$\frac{8}{3}x^{5}+\left(-\frac{4}{9}\right)x^{6}+\frac{16}{3}x^{4}+\frac{2}{3}x^3-20x^2-40x+20$