What is the product? (x - 3)(2x² - 5x + 1)

Solution:

Given expression is:

(x - 3)(2x² - 5x + 1)

The distributive property states that an expression which is given in form of A (B + C) can be solved as:

A × (B + C) = AB + AC.

This distributive law is also applicable to subtraction and is expressed as:

A (B - C) = AB - AC. 

By method of distributive property, we can write it as follows

= 2x³ - 5x² + x - 6x² + 15x - 3

= 2x³ - 11 x² + 16x - 3

Therefore, the product of (x - 3)(2x² - 5x + 1) is 2x³ - 11 x² + 16x - 3.

What is the product? (x - 3)(2x² - 5x + 1)

Summary:

The product (x - 3)(2x² - 5x + 1) = 2x³ - 11x² + 16x - 3