Factorization test questions x(x+y-z)+y(x+y-z)+z(z-x-y)

x(x+y-z)+y(x+y-z)+z(z-x-y)
=x(x+y-z)+y(x+y-z)-z(x+y-z)
=(x+y-z)(x+y-z)
=(x+y-z)^2

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1. A factorization problem in grade one of junior high school (3x-1)(2x+3)-(x+3)(x-3)
2. Several simple factorization problems~ (1) (2x-3y)^2 - 4a^2 (2) x^4 - 2x^2 + 1 (3) x^2 - a^2 - 2x - 2a (4) 4x^2 - 4xy + y^2 - a^2 (5) (x + y)^2 - 2(x + y ) - 3 (6) x^2 - 2xy -3y^2 + x + y
3. 4 questions 20 points Oh factorization 1-3(x-y)+3(x-y)^2-(x-y)^3 a^2+b^2+4a-4b-2ab+4 (x+y)^2+ (x+m)^2-(m+n)^2-(y+n)^2 a^2(b^2-c^2)-c^2(b-c)(a+b)
4. Solving 20 factorization problems X^3-X^2+X-1 AX+AY+X+Y 5MA+5MB-A-B M^2-MN-5M+5N A^2-B^2-2A+2B M^2-N^2+2M+2N AX^2-A^3-2AX-2A^2
5. Factorization and factorization what's the difference between factorization and factorization
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10. x²-4xy-1+4y²= 7.77²+4.46×7.77+2.23²= There must be a process. Let's go, brothers
11. Factorization: 1、6q(p+q)-4p(p+q) 2、x(x-y)^2-y(x-y)^2 3、x(x+y)(x-y)-x(x+y)^2
12. As shown in the figure, in the quadrilateral ABCD, the angle B = 90 ° AC ⊥ DC, ab = 1cm, BC = DC = 2cm, then ad=_____ cm
13. A few biology fill in the blanks Animal cells and most plant cells, the outside of the nucleus is coated with (), and there is a clear boundary between (). Such cells are called eukaryotic cells. Organisms with eukaryotic cells are called (). Some biological cells do not have formed cell nuclei, that is, cells and () are not coated, and there is no obvious boundary between () and (), Such cells are called prokaryotes. Organisms made up of prokaryotes are called ()
14. A right angled trapezoid has an upper base of 8 cm and a lower base of 15 cm. Cut out the largest triangle in the right angled trapezoid, and the remaining area is 37.8 square cm Q: what is the area of the original trapezoid?
15. 1. The perimeter of a round flower bed is 50.24 meters. There are two kinds of flowers in it. The area ratio of chrysanthemum to camellia is 2:5. What are the areas of these two kinds of flowers? 2. The area of a circle and a rectangle is equal. The circumference is 18.84 cm, and the rectangle is 6 cm long. How many cm wide is it? 3. After a circle is divided into several parts, it can be put together into a rectangle with a circumference of 20.7 decimeters. How many square decimeters is the area of the circle? 4. Cut a maximum circle of 18.84 cm from a square paper and calculate the area of the paper to be cut 5. If the perimeter ratio of circle a and circle B is 3:5, the ratio of circle a to circle B is () 6. If the diameter ratio of two circles is 3:2, then their radius ratio is () and their perimeter is () and their area ratio is ()
16. If a commodity is sold at a 10% discount, it will make a profit of 20 yuan. If it is sold at a 70% discount, it will lose 10 yuan How many yuan? (use the equation of one yuan once, put a problem into a formula and answer it in detail)
17. Several mathematics problems in grade one of junior high school~ In a certain month, Mr. Wang will participate in three days of business training. The sum of the numbers of the three days is 39. If the training time is three consecutive days, then the three days are respectively the 12th, 13th and 14th. If the training time is three consecutive weeks of Saturday, what are the dates of the month, the 13th and the 14th? According to the regular arrangement of a column of numbers: 2, - 4,8, - 16,32, - 64,..., in which the sum of some four adjacent numbers is - 640, how much is the difference between the maximum number and the minimum number of these four numbers? [Note: the solution of column equation is urgent!]
18. The price of Haier computer is 2 / 11 lower than the original price. Now the price is 3600 yuan. How much is the original price
19. 2.The probability of A’s winning a hockey match is 3/2 times the probability of B’s winning a cricket match.The probability of C’s winning a race is twice the probability of B’s winning the cricket match.What is the maximum probability of A’s winning the hockey match? (A) ¼ (B) ½ (C) 2/3 (D)¾ (E) 1
20. The original price of a Skyworth color TV set is 4000 yuan. The shopping malls carry out promotional activities, first raise the price by 1 / 10, and then reduce the price by 1 / 10, How much is the current price of this color TV set?