Solving two factorization problems in the second year of junior high school The square of 25A - the square of 4 (B + C)= Square of (x + y) + 6 (x + y) + 9=

Solving two factorization problems in the second year of junior high school The square of 25A - the square of 4 (B + C)= Square of (x + y) + 6 (x + y) + 9=

（1）〔5a+2(b+c)〕〔5a-2(b+c)〕
(2) The square of (x + y + 3) (x + y + 3) or (x + y + 3)

1. Find the minimum value of the polynomial 2x ^ 2-4xy + 5Y ^ 2-12y + 13
（1-1/2^2）*（1-1/3^2）*（1-1/4^2）*…… *（1-1/10^2）

1.2x ^ 2-4xy + 5Y ^ 2-12y + 13 = 2x ^ 2-4xy + 2Y ^ 2 + 3Y ^ 2-12y + 12 + 1 = 2 (x ^ 2-2xy + y ^ 2) + 3 (y ^ 2-4y + 4) + 1 = 2 (X-Y) ^ 2 + 3 (Y-2) ^ 2 + 1, then when x = y = 2, the polynomial has the minimum value of 1.2. (1-1 / 2 ^ 2) * (1-1 / 3 ^ 2) * (1-1 / 4 ^ 2) * *（1-1/10^2）=（1-1/2...

1. Given that X and y satisfy 2x + y = 6 and x-3y = 1, find the value of 7Y (x-3y) & sup2; - 2 (3y-x) & sup3
2. Given x + y = 2, xy = - & frac12;, find the value of X (x + y) & sup2; (1-y) - x (y + x) & sup2

1 because x-3y = 1, so 7Y (x-3y) ^ 2-2 (3y-x) ^ 3 = 7Y + 2 because x-3y = 1, so x = 3Y + 1, so 7Y + 2 = 2x + y because 2x + y = 6, so the original formula = 62 x (x + y) & sup2; (1-y) - x (y + x) & sup2; = (x + y) ^ 2 (x-xy-x) = (x + y) ^ 2 * (- XY) = 2 ^ 2 * (1 / 2) = 2

Let the real number AB satisfy log2 (A-1) + log2 (b-2) = 2, then the minimum value of a + B is

(a-1)(b-2)=4
A + B = (A-1) + (b-2) + 3 greater than or equal to 2 radical (A-1) + (b-2) + 3
So the minimum value of a + B is 5

Three fifths of a number is five sixths of 36. What's the number

This number
=(36 × 5 / 6) △ 3 / 5
=30 × 5 / 3
=50

Is the result of the formula odd or even?
（300+301+...+397）-（151+152+...+197)
fast

Even number
Because odd plus even equals odd
Odd minus odd equals even

Fill in the numbers according to the rules: 1,2,2,5,4,11,8,23,16,47, (), (), 64191

32 95
In fact, two sequences are crossed and combined to form a sequence. The odd number is 1 24 8 16 32 64. Obviously, the latter number is the former number multiplied by 2, the even number is 2 5 11 23 47 95 191, and the latter number is the former number multiplied by 2 plus 1
According to this rule, 32 and 95 should be in brackets

How much is four fifths multiplied by six minus six and one fifths? How many times is the reciprocal of one and a quarter more than three fifths
1. The number that is both prime and odd is (). 2. The number that is both prime and even is (). 3. The number that is both composite and odd is (). 4. The number that is both composite and even is (). Fill in the following (). 1. It is a multiple of 2 and 3. 47 () 22. It has a factor of 3 and 5. 4 () 1 () 3. It is a multiple of 2, It is also a multiple of 5. 5 () 9 () 4. It is also a multiple of 2, 3 and 5. 7 () () fill in the blanks: 15 times 3 = 45:15 and 3 are 45 (), 45 is 15 and 3 (). 40 times 8 = 320: () and () are factors of 320, () are multiples of 40 and 8. 24 times 4 = 100:100 are factors of 25 and 4 (), () and () are factors of 100, Just sort the factors of 12 from small to large. Can you work out what the phone number is?

According to the order, the answers are: - 7 / 5,28 / 15 (Times), 1.3; 2.2; 3.9; 4.6; () fill in the appropriate numbers: 1.47 (5) 2; 2.4 (8) 1 (5); 3.5 (1) 9 (0); 4.7 (2) (0)

A (a + 1) + (B-A Square) = - 7, find (a + b) / 2 + ab

A (a + 1) + (B-A Square) = - 7,
a²+a+b-a²=-7
a+b=-7
(a + b) / 2 + ab
=(a²+2ab+b²)/2
=(a+b)²/2
=49/2

Given that the image of the first-order function is parallel to the straight line y = 3 / 4x + 3 / 2 and passes through the point (- 4, - 6), the analytic expression of the first-order function is obtained

Let y = 3 / 4x + B generation (- 4, - 6), B solution is - 3, so y = 3 / 4x-3