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Find the product of (–d + e)(4e + d). Which statements are true? Check all that apply.


A=There are 2 terms in the product.

B=There are 3 terms in the product.

C=There are 4 terms in the product.

D=The product is degree 1.

E=The product is degree 2.

F=The product is degree 4.

Verified Answer :

Answer:

the Anser is B and E

Step-by-step explanation:

In equation, (-d + e)( 4e + d) will be (-4ed - d^2 + 4e^2 +ed ) to simplify we combine the terms with the same variables such as d^2, e^2 and ed. The equation becomes, 4e^2 - 3ed - d^2 . The product has 3 terms with a degree of 2. The statements that are true are B and E.

The product of (-d + e)(4e+d) is 4e²-d²-3ed.

The correct option is B and E.

What is expression?

An expression is a combination of numbers, variables, functions such as addition, subtraction, multiplication or division etc.

Given: (-d + e)( 4e + d)

Applying the distributive two times:

= -d4e-dd+4ee+de

=-4ed-d²+4e²+ed

=4e²-d²-3ed.

Thus,  (-d + e)( 4e + d) = 4e²-d²-3ed.

Hence, The product has 3 terms with a degree of 2.

Learn more about expression here:

https://brainly.com/question/14083225

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