Expand the Binomial $( 4 x + 2 y ) ^ { 4 }$

question 46

Multiple Choice

Expand the binomial.
- $( 4 x + 2 y ) ^ { 4 }$

• A) \(256 x ^ { 4 } + 8192 x ^ { 3 } y - 2304 x ^ { 2 } y ^ { 2 } + 128 x y ^ { 3 } - 16 y ^ { 4 }\)
• B) \(256 x ^ { 4 } + 512 x ^ { 3 } y - 384 x ^ { 2 } y ^ { 2 } + 128 x y ^ { 3 } - 16 y 4\)
• C) \(256 x ^ { 4 } + 8192 x ^ { 3 } y + 2304 x ^ { 2 } y ^ { 2 } + 128 x y ^ { 3 } + 16 y ^ { 4 }\)
• D) \(256 x ^ { 4 } + 512 x ^ { 3 } y + 384 x ^ { 2 } y ^ { 2 } + 128 x y ^ { 3 } + 16 y ^ { 4 }\)

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Definitions:

Vertical Lines

Lines that run straight up and down, creating a sense of height and structure within a visual composition.

Shepard's Table Illusion

A visual illusion where two tables appear to be different shapes but are in fact identical; highlighting how context can influence perception.

Rods and Cones

Rods and cones are types of photoreceptor cells in the retina of the eye that detect light and color, respectively.

Shape Constancy

The perceptual phenomenon by which we perceive the shape of an object as constant despite changes in the angle of perception.