Factorization (a + b) ^ 3-9 (a + b)

Factorization (a + b) ^ 3-9 (a + b)

(a+b)^3-9(a+b)
=(a+b)[(a+b)²-9]
=(a+b)(a+b+3)(a+b-3)

Factorization (25th 16:56:2)
Factorization: (x2 + 2x + 2) (x2)_ 2X + 2) can it continue to decompose;
Y 4 + y 2 + 1

The first one can't be broken down
y4+y2+1
=y^4+2y^2+1-y^2
=(y^2+1)^2-y^2
=(y^2+y+1)(y^2-y+1)

As shown in the picture, a middle school is going to use a section of the wall in the campus and build three walls to form a rectangular garden ABCD (the longest wall Mn can use 25m). Now it has enough materials to build a 50m long wall. If a masonry method is designed to make the area of the rectangular garden 300m2, then the length of AB is ()
A. 10B. 15C. 10 or 15d. 12.5

Let AB = XM, then BC = (50-2x) M. according to the meaning of the title, X (50-2x) = 300, the solution is: X1 = 10, X2 = 15, when x = 10, BC = 50-10-10 = 30 > 25, so X1 = 10 (not suitable for the title), so choose B

It is known that triangle ABC and triangle ade are two different isosceles triangles. B, C and E are on the same line. Connect DC and find the congruent triangle in the graph

△ABE≌△ACD．
It is proved that ∵ ABC and ∵ AED are isosceles right triangles,
∴AB=AC,AE=AD,∠BAC=∠EAD=90°
∴∠BAE=∠CAD,
∴△ABE≌△ACD；

A car from a to B, after a period of travel, there are 210 kilometers, and then 20% of the whole journey, when the distance is equal to the distance
3:21 for the whole journey

At this time, the distance traveled is equal to 3:2
3 / 5 of the total
Whole journey = 210 ÷ (3 / 5-20%) = 525km

As shown in the figure, a fruit juice bottle has a cylindrical body (the bottleneck part is ignored) and a volume of 462 cubic centimeters. When the bottle is placed upright, the liquid level in the bottle is 12cm high. When the bottle is placed upside down, the spare part is 2cm high. What is the volume of the original fruit juice in the bottle?

Because the volume of fruit juice is constant, and the volume of the spare part in the bottle is also constant, so the volume of fruit juice is 6 times of the volume of the spare part, 462 × 66 + 1, = 462 × 67, = 396 (cubic centimeter). A: the volume of fruit juice in the bottle is 396 cubic centimeter

On a square board with a circumference of 80cm, saw out the largest circle. The area of this circle is () square centimeter? The rest is () square centimeter

The area of this circle: 80 △ 2 = 40 (CM) 3.14 × 40 × 40 = 5024 (cm 2) the remaining area: 80 × 80-5024 = 1376 (cm 2)

If the rational numbers a and B satisfy | A-1 | + | B-2 | = 0, find the values of AB, a / B, | a | + | B |

a-1=0;
a=1;
b-2=0;
b=2;
∴ab=1×2=2;
a/b=1/2;
|a|+|b|=1+2=3；
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Several second grade calculation problems, factorization and simple calculation
Square of 1.21-42 + 1
2.66 square - 6600 + 50 square
3. The square of (a + b) - 4AB
4.9 1 / m square n + 3 / 2Mn + 1
Square of 5.8a-4a-4

1、21²-42+1
=21²-2×21+1
=(21-1)²
=20²
=400
2、66²-6600+50²
=66²-2×66×50+50²
=(66-50)²
=16²
=256
3、(a+b)²-4ab
=a²+2ab+b²-4ab
=a²-2ab+b²
=(a-b)²
4、1/9m²n²+2/3mn+1
=(1/3mn+1)²
5、8a-4a²-4
=-4(a²-2a+1)
=-4(a-1)²

There are two squares. The area of the first square is 81 square meters. The side length of the second square is 11 times the length of the first square

Let the length of the first square be a and the length of the second square be B
According to the meaning of the title, a ^ 2 = 81 square meters, B = 11a
So the area of the second triangle = B ^ 2 = 11a * 11a = 121a ^ 2 = 121 * 81 = 9801 square meters