Question

Simplify the expression 3x(2x – 7).

a) 15x
b) 6x² – 21
c) 6x² – 21x
d) 6x – 21

Answer 1

To simplify 3x(2x - 7), distribute the 3x across the terms inside the parentheses, resulting in 6x² - 21x, which is option c).

Step-by-step explanation:

To simplify the expression 3x(2x – 7), you need to distribute the 3x to both terms inside the parentheses. This is known as the distributive property of multiplication. Here are the steps for this algebraic expression:

1. Multiply 3x by 2x to get 6x².
2. Multiply 3x by – 7 to get – 21x.
3. Combine the two products to get your simplified expression, which is 6x² – 21x.

So, the simplified expression is 6x² – 21x, which corresponds to option c).