Question

Multiply and simplify the expression: 2r(3r + 4)(r - 7).

Answer 1

To multiply and simplify the expression 2r(3r + 4)(r - 7), distribute 2r to both sets of parentheses and combine like terms.

Step-by-step explanation:

To multiply and simplify the expression 2r(3r + 4)(r - 7), we need to follow the distributive property. First, distribute 2r to both terms inside the first set of parentheses:

• 2r * 3r = 6r^2
• 2r * 4 = 8r

Now, distribute 2r to both terms inside the second set of parentheses:

• 2r * r = 2r^2
• 2r * -7 = -14r

Combine like terms:

• 6r^2 + 8r + 2r^2 - 14r

Simplify further:

• 8r - 14r = -6r

Combine like terms again:

• 6r^2 + 2r^2 = 8r^2

Final simplified expression:

• 8r^2 - 6r