Use the Binomial Theorem to Expand and Simplify the Expression $( 4 x + 5 y ) ^ { 4 }$

question 318

Multiple Choice

Use the Binomial Theorem to expand and simplify the expression. $( 4 x + 5 y ) ^ { 4 }$

• A) \(256 x ^ { 4 } + 1280 x ^ { 3 } y + 2400 x ^ { 2 } y ^ { 2 } + 2000 x y ^ { 3 } + 625 y ^ { 4 }\)
• B) \(256 x ^ { 4 } + 1280 x ^ { 3 } y + 2400 x ^ { 2 } y ^ { 2 } + 2000 x y ^ { 3 } - y ^ { 4 }\)
• C) \(256 x ^ { 4 } + 320 x ^ { 3 } y + 2400 x ^ { 2 } y ^ { 2 } + 2000 x y ^ { 3 } + 625 y ^ { 4 }\)
• D) \(256 x ^ { 4 } + 500 x ^ { 3 } y + 2400 x ^ { 2 } y ^ { 2 } + 2000 x y ^ { 3 } - 625 y ^ { 4 }\)
• E) \(x ^ { 4 } + 1280 x ^ { 3 } y + 2400 x ^ { 2 } y ^ { 2 } + 2000 x y ^ { 3 } + y ^ { 4 }\)

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Definitions:

Attentive Statements

Responses that show active listening and understanding of what another person is expressing.

Minimal Encouragers

Brief verbal cues or non-verbal signals used during conversation to indicate active listening and encourage the speaker to continue.

Reflecting Feelings

The technique used in counseling and communication to mirror the emotions of the speaker, validating their experience.

Past Tense

A grammatical term referring to verbs that express actions or states of being that occurred in the past.