What is the result of 8A (X-Y) ^ 2-4b (Y-X) decomposing the common factor?

What is the result of 8A (X-Y) ^ 2-4b (Y-X) decomposing the common factor?

8a(x-y)²-4b(y-x)
=8a(x-y)²+4b(x-y)
=4(x-y)[2a(x-y)+b]
=4(x-y)(2ax-2ay+b)
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The common factor of the square of 5 (X-Y) + the square of 10 (Y-X)

5(x-y)^2+10(y-x)^2
=5(x-y)^2+10(x-y)^2
=15(x-y)^2
The common factor is (X-Y) ^ 2

Square of 2 x-x-1 = square + fast of 2 (x -)

2x²-x-1
=2[x²-(x/2)+(1/16)]-(1/8)-1
=2[x-(1/4)]²-（9/8)

When taking approximate numbers, we must use the "round off" method___ &Nbsp; (judge right or wrong)

It can be seen from the analysis that "rounding" must be used when taking approximate numbers

There is a railway bridge with a length of 1000 meters. A train passes through the bridge. It takes 120 seconds for the train to get on the bridge and get off the bridge completely. The time for the whole train to be completely on the bridge is 80 seconds. What are the speed and length of the train?

Let the speed of the train be x m / s and the length of the train body be y m, and the relationship between them is listed. The equations are 120x = 1000 + y, ①, 80x = 1000-y, ②, which are solved by ① and ②: x = 10 m, y = 200 m. a: the speed and length of the train are 10 m / s and 200 m respectively

The perimeter of a rectangle is 8cm. Let one side be xcm and the other side be YCM. Then the function of Y with respect to X is______ ．

∵ the perimeter of the rectangle is 8cm, ∵ the sum of a group of adjacent sides of the rectangle is 4cm, ∵ one side is xcm, the other side is YCM. ∵ y = 4-x, so the answer is y = 4-x

X to the 25th power / [(- x to the 2nd power) to the 3rd power] to the 4th power * (- x to the 3rd power) to the 2nd power / (- x to the 2nd power) to the 5th power

X to the 25th power / [(- x to the 2nd power) to the 3rd power] to the 4th power * (- x to the 3rd power) to the 2nd power / (- x to the 2nd power) to the 5th power
=X to the 25th power / (- x to the 2nd power) to the 12th power) * (x to the 6th power) / (- x to the 10th power)
=25th power of X / (24th power of x) * (6th power of x) / (- 10th power of x)
=X to the power of (25-24 + 6-10) / (- 1)
=-The (- 3) power of X
=-1/x³

If it's more than 3 minutes, pay 0.3 yuan for every more than 1 minute. Xiao Ming pays 2.9 yuan for a call to a certain place. How many minutes did he make a call?

3 + (2.9-0.8) △ 0.3, = 3 + 2.1 △ 0.3, = 3 + 7, = 10 (minutes); a: he called for 10 minutes

A real estate development company plans to build a rectangular Park ABCD in the first floor area. The park is composed of a rectangular leisure area a1b1c1d1 and a sidewalk around the park (shaded part). The known leisure area a1b1c1d1 covers an area of 4000 square meters, and the width of the sidewalk is 4 meters and 10 meters respectively (as shown in the figure) (I) if the ratio of length and width of leisure area a1b1c1 = x, find the analytic formula of the function s (x) of Park ABCD area s with respect to X; (II) how to design the length and width of leisure area a1b1c1d1 to minimize the park area?

(I) if the width of the leisure area is a meter, then its length is ax meter, ∧ a2x = 4000 {a = 2010x, ∧ s = (a + 8) (AX + 20) = a2x + (8x + 20) a + 160 = 4000 + (8x + 20) · 2010x + 160 = 8010 (2x + 5x) + 4160, X ∈ (1, + ∞) (II) s ≥ 1600 + 4160 = 5760. If and only if 2x = 5x {x = 2.5, the park occupies the smallest area. At this time, a = 40, ax = 100, that is, the length of leisure area a1b1c1d1 is 100 meters, and the width is 40 meters Rice

There are pencil, exercise book and ballpoint pen. If you buy 3 pencils, 7 exercise books and 1 ballpoint pen, it costs 6.3 yuan in total. If you buy 4 pencils, 10 exercise books and 1 ballpoint pen, it costs 8.4 yuan in total. Now, how much does it cost to buy one pencil, one ballpoint pen and one exercise book?

Let the price of pencil be x, the contact book be y, and the pen be Z
3x+7y+z=6.3
4x+10y+z=8.4
6.3-9y=3x
x+3y=2.1
9y=7y+z
z=2y
x+y+z=2.1-3y+y+2y=2.1
A: 2.1 yuan in total