Problem 21 - Algebra 1: Concepts and Skills

Question

Find the product. $$ (2 x-5)(-4 x) $$

Step-by-Step Solution

Answer

The product of the given expression (2x - 5)(-4x) is \(-8x^2 + 20x\).

Step 1: Distribute '-4x' to the terms inside the parentheses

To solve, you should distribute '-4x' to '2x' and '-5' individually. It becomes: \(-4x * 2x + -4x * -5\)

Step 2: Simplify multiplication

Simplify the multiplication to get \(-8x^2 + 20x\).

Step 3: Last step: Write the final answer

Collecting the terms, your final expression is: \(-8x^2 + 20x\) which is the product of the given binomial and monomial.