Which of the following polynomials is the expansion of (1/2x-y)^4

Mathematics

1 answer:

RideAnS [48]4 years ago

7 0

Answer:

Hello :

(1/2x-y)^4 = (1/2x-y)²(1/2x-y)²

but : (1/2x-y)²= (1/2)²- 2(1/2)xy +y²

so : (1/2x-y)^4 = ((1/2)²- 2(1/2)xy +y²) ((1/2)²- 2(1/2)xy +y²) = ........

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How to do ratio equivalents

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3 0

4 years ago

I forgot how to do it help!?

Fantom [35]

Replace x with -3 and add

y = -x+1

y = -( x ) + 1

y = -( -3 ) + 1 .... replace x with -3

y = 3 + 1 ... two negatives cancel to make a positive

y = 4

So the number 4 goes right next to -3. This means the point (x,y) = (-3,4) is on the line. This is shown as point A on the attached image below.

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Repeat for x = -1

y = -x + 1

y = -( x ) + 1

y = -( -1) + 1 ... replace x with -1

y = 1 + 1

y = 2

So the point (-1,2) is also on the line. This is shown as point B.

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Repeat for x = 0

y = -x + 1

y = -0 + 1 ... replace x with 0

y = 1

So (0,1) is on the line. This is point C.

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Finally, plug in x = 4

y = -x + 1

y = -4 + 1 ... replace x with 4

y = -3

So (4,-3) is on the line, shown as point D.

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After you have at least 2 points plotted on the coordinate grid, you would draw a straight line through those points. Note how points A,B, C, & D are all on the same straight line. The slope of this line is -1 meaning you go down 1 unit each time you move to the right 1 unit. The y intercept is 1, which is where the blue line crosses the y axis.