It is known that a = {x | x2-3x + 2

It is known that a = {x | x2-3x + 2

①∵x²-3x+2≦0
∴(x-1)(x-2)≦0
∴1≦x≦2
②∵x²-2ax﹢a≦0
∴(x-a½)²≦0
∴x=a½
∵A∩B=B
∴1≦a½≦2
∴1≦a≦4
2 / 2 (x-3 / 1y & # 178;) + (3 / 1y & # 178; - 2 / 3x), where x = 2 / 3, y = - 2
2 / 2 (x-3 / 1y & # 178;) + (3 / 1y & # 178; - 2 / 3x)
=1/2x-2x+2/3y²+1/3y²-3/2x
=-3x+y²
=-3x2/3+(-2)²
=-2+4
=2
Given (x + 2) &# 178; + 3y-2 = 0, the process of finding the value of 2 / 2 (x-3 / 1y & # 178;) + (- 2 / 3x + 3 / 1y & # 178;) is necessary
(x + 2) & # 178; + 3y-2 = 0, then x + 2 = 0, 3y-2 = 0, then x = - 2, y = 2 / 3
1 X-2 of 2 (x-3 / 1y & # 178;) + (- 2 / 3x + 3 / 1y & # 178;)
=1/2x-2x+2/3y²-3/2x+1/3y²
=-3x+y²
=6+(2/3)²
=6+4/9
=6 and 4 / 9
Question: Yes, I want the process. Thank you
1. If x ^ - 3x - 4 = 0, then 2x ^ + 6x + 2=
2. The third power of 6x (a-b) ^ + 4 - (B-A)
3、(a+b)^-4
4、a^(x-y)+b^(y-x)
5. The fourth power of x-64x^
6、(x+2m)^-(2x+m)^
7、(a+1)(a+5)+4
8、x^-x-20
9、x^-9xy+14y^
10. Given a + B = 3, ab = - 2, find the value of a (a + b) ^ - A (a + b) (a-b)
be careful! Correct the second question: 2. The power of 6x (a-b) ^ + 4Y (B-A)
1. Given x ^ - 3x - 4 = 0, so x ^ - 3x = 4 2 (x ^ - 3x) = 2 * 4 2x ^ - 6x = 8. Is it to find 2x ^ - 6x + 2? 2x ^ - 6x + 2 = 8 + 2 = 10 or known x ^ + 3x - 4 = 0, then we get 2x ^ + 6x + 2 = 10? If the question is true, then x ^ - 3x - 4 = 0, (x - 4) (x + 1) = 0, then x = 4 or x = - 1 if x = 4, 2x ^ + 6x + 2 = 2 * 16 + 24 + 2 = 5
The cube of polynomial x y-6 + the cube of 5xy-4x the square of Y is arranged by the ascending power of X
In ascending order of X
That is to say, arrange the times of X from small to large
So = - 6 + 5xy & sup3; - 4x & sup2; Y & sup2; + X & sup3; y
A question about factorization in grade two
To calculate (a writing process) by factoring
758²-258²
Original formula = (758 + 258) * (758-258)
=1016*500
=508000
758²-258²
=(758+258)*(758-258)
=1016*500
=508000
(758+258)*(758-258)=1016*500=508000
=(758+258)(758-258)
=1016*500
=508000
(1) Square factorization of 36 (a + b) - 25 (2) 16 (a-2b) - (a + b)
Can be written as m ^ 2-N ^ 2 = (M + n) (m-n)
(1) Equivalent to [6 (a + b)] ^ 2-5 ^ 2 = (6a + 6B + 5) (6a + 6b-5)
(2) Equivalent to [4 (a-2b)] ^ 2 - (a + b) ^ 2 = (5a-7b) (3a-9b)
36﹙a+b﹚²-25
=[6﹙a+b﹚]²-25
=[6﹙a+b﹚+5]×[6﹙a+b﹚-5]
16﹙a-2b﹚²-﹙a+b﹚²
=[4﹙a-2b﹚]²-﹙a+b﹚²
=[4﹙a-2b﹚+﹙a+b﹚][4﹙a-2b﹚-﹙a+b﹚]
=﹙5a-7b﹚﹙3a-8b﹚
If you are satisfied, please adopt
36﹙a+b﹚²-25
=[6﹙a+b﹚]²-25
=[6﹙a+b﹚+5]×[6﹙a+b﹚-5]
16﹙a-2b﹚²-﹙a+b﹚²
=[4﹙a-2b﹚]²-﹙a+b﹚²
=[4﹙a-2b﹚+﹙a+b﹚][4﹙a-2b﹚-﹙a+b﹚]
=﹙5a-7b﹚﹙3a-8b﹚
If you are satisfied, please follow up: I want to know how the answer to the second question came from, but I still don't understand
(1)4x^2+3y-3xy-4x
(2) -(a^2-b^2)^2+(a^2+b^2)(a+b)^2
(3) - 2.89 × 52 ^ 2 + 2.89 × 48 ^ 2
Sorry, the second question is - (a ^ 2-B ^ 2) ^ 2 + 2 (a ^ 2 + B ^ 2) (a + b) ^ 2
1 4x^2+3y-3xy-4x=4x(x-1)-3y(x-1)=(x-1)(4x-3y)2 -(a^2-b^2)+(a^2+b^2)(a+b)^2=-(a+b)^2(a-b)^2+(a^2+b^2)(a+b)^2=(a+b)^2[(-a^2-b^2+2ab)+(a^2+b^2)]=2ab(a+b)^23 -2.89(52^2-48^2)=-2.89(52+48)(52-48)=-289*4=-1...
1.4x(x-1)+3y(1-x)=(x-1)(4x-3y)
2.(a^2+b^2)(a+b)^2-(a+b)^2(a-b)^2=2ab(a+b)^2
3.2.89(48^2-52^2)=2.89(48+52)(48-52)=-1156
Factorization of a ^ 3 + 2A ^ 2b-8a-16b
There are several factoring problems, please. This time, because there are many problems, I will improve my score
Note: x ^ 2 is the square of X √ 2 is the square root of 2
1. Factorization of polynomial x ^ 2-y ^ 2-2x-4y-3_____________
2. Given that 3x ^ 2 + 4x-7 = 0, the value of 6x ^ 4 + 11x ^ 3-7x ^ 2-3x-7 is__________
3. Y-2x + 1 is a factor of 4xy-4x ^ 2-y ^ 2-k, then the value of K is__________
4. Let B not be equal to C, then (√ 3 + 1) (a-b) + √ 2 (B-C) = a-c, then a-b
-----
B-C
Value of_____________
5. Given that x ^ 2 + ax-12 can be decomposed into the product of the first-order factors of two integral coefficients, then the number of qualified integers a is______________
6. Decomposition factor: A ^ 2 + 2B ^ 2 + 3C ^ 2 + 3AB + 4ac + 5BC=_____________
7. If 3x ^ 2 + 4y-10 = 0, then 15x ^ 3 + 3x ^ 2Y + 20XY + 4Y ^ 2 + 3x ^ 2-50x-6y=__________
8. Given that the value of the polynomial 2x ^ 2 + 3xy-2y ^ 2-x + 8y-6 is identical to the value of the product of two factors (x + 2Y + a) (2x-y + b), then a + B is equal to____________
9. If x + 2 is a factor of polynomial x ^ 3 + x ^ 2 + ax + B, and 2A ^ 2 + 3AB + B ^ 2 is not equal to 0, then the fraction AB ^ 2-4a ^ 3 + B ^ 3-4A ^ 2B
-------------------
2a^2+3ab+b^2
The value of is_________________
10. If the polynomial x ^ 3 + ax ^ 2 + BX can be divided by (X-5) and (X-6), then a=_______ ,b=_________
11. If (x-a) (X-B) - K contains the factor X + B, then K=__________
12. It is known that the polynomial 2x ^ 2 + xy-3y ^ 2-x-4y-1 can be decomposed into (2x + 3Y + m) (X-Y + n), then the value of M + n is equal to_________
13. It is known that when the polynomial ax ^ 3 + BX ^ 2 + CX + D is divided by X-1, the remainder is 1. When the polynomial ax ^ 3 + BX ^ 2 + CX + D is divided by (x-1) (X-2), the remainder is 3___________________
4. Let B not be equal to C, then (√ 3 + 1) (a-b) + √ 2 (B-C) = a-c, then
A-b
-----
The value of B-C (representing A-B of B-C)_____________
9. If x + 2 is a factor of polynomial x ^ 3 + x ^ 2 + ax + B, and 2A ^ 2 + 3AB + B ^ 2 is not equal to 0, then the fraction
ab^2-4a^3+b^3-4a^2b
-------------------
The value of 2A ^ 2 + 3AB + B ^ 2 (representing AB ^ 2-4a ^ 3 + B ^ 3-4A ^ 2b of 2A ^ 2 + 3AB + B ^ 2) is_________________
Why do you have the same answer to every question?
And it's all wrong?
1. Factorization of polynomial x ^ 2-y ^ 2-2x-4y-3___ (x+y+1)(x-y-3)__________ =(x-1) ^ 2 - (y + 2) ^ 2 = (x + y + 1) (x-y-3) 2, if 3x ^ 2 + 4x-7 = 0, then the value of 6x ^ 4 + 11x ^ 3-7x ^ 2-3x-7 is__________ 3, y-2x + 1 is 4xy-4x