Simplifying Expressions and Coefficients

The video tutorial explains how to simplify an algebraic expression by distributing terms and combining like terms. It begins with distributing -2X^2 across two terms, followed by distributing 3X across another set of terms. The process involves multiplying coefficients and adding exponents. Finally, the tutorial demonstrates how to combine like terms to achieve the simplified expression.

What is the first step in simplifying the given expression?

• Factor the expression

• Add the coefficients

• Distribute the terms

• Combine like terms

When distributing -2X^2 and 4X, what is the result of multiplying the coefficients?

• -8

• 6

• 8

• -6

What is the exponent of X after multiplying -2X^2 by 4X?

• 4

• 2

• 5

• 3

What is the result of multiplying -2X^2 by -3?

• -6X

• 6X

• 6X^2

• -6X^2

What is the next step after multiplying -2X^2 by -3?

• Combine like terms

• Distribute 3X

• Add the results

• Factor the expression

What is the result of multiplying 3X by 5x?

• 15X

• 15X^2

• 10X^2

• 10X

What is the exponent of X after multiplying 3X by 5x?

• 1

• 3

• 2

• 4

What is the result of multiplying 3X by 7?

• 14X

• 21X

• 14X^2

• 21X^2

What is the next step after multiplying 3X by 7?

• Add like terms

• Distribute another term

• Subtract the results

• Factor the expression

What is the sum of 6X^2 and 15X^2?

• 18X^2

• 21X^2

• 20X^2

• 19X^2