Question

Keisha says each of the following expression is actually a binomial in disguise:

1. 5x^2 + 8x + 7x^ 2 - 4x
2. (4x^3 - 9+ 3x) - (-7x^3 +3x +2)
3. 8x^2- 4x+4


Is she right about each expression and explain why.

Answer 1

1. Yes, 5x² + 8x + 7x² - 4x is a binomial expression in disguise, because it has only two terms when simplified.

2. Yes, (4x³ - 9 + 3x) - (-7x³ + 3x + 2) is a binomial expression in disguise, because it has only two terms when simplified.

3. 8x²- 4x + 4 has three terms, therefore it is a binomial expression in disguise.

What is a Binomial Expression?

• A binomial expression can be described as any algebraic expression having two terms.
• A term can be a variable, product of a coefficient and a variable, a constant, or a variable with degree multiplied by the product of a coefficient with a number.

Thus, simplify each of the given algebraic expressions to find out if it's a binomial expression:

1. 5x² + 8x + 7x² - 4x

• Combine like terms

12x² + 4x

5x² + 8x + 7x² - 4x is a binomial expression in disguise, because it has only two terms when simplified.

2. (4x³ - 9 + 3x) - (-7x³ + 3x + 2)

• Simplify

4x³ - 9 + 3x + 7x³ - 3x - 2

Combine like terms

11x³ - 11

(4x³ - 9 + 3x) - (-7x³ + 3x + 2) is a binomial expression in disguise, because it has only two terms when simplified.

3.  8x²- 4x + 4 cannot be simplified further.

8x²- 4x + 4 has three terms, therefore it is a binomial expression in disguise.

Learn more about binomial expression on:

https://brainly.com/question/4892534