(AX + by) ^ 2 + (BX ay) ^ 2 factorization

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• 1. Given x + y = 3, xy = 1, a + B = 5, ab = 3, M = ax + by, n = BX + ay, find the value of m ^ 2n ^ 2
• 2. Given that x + y = 3, a + B = 5, xy = 1, ab = 3, and M = ax + by, n = BX + ay, find the square of M times the square of n
• 3. X + y = 3, xy = 1, a + B = 5, ab = 3, M = ax + BX, n = BX + ay, find the value of M3 + N3 Why?
• 4. Given that x + y = - 2, a + B = - 1 / 2, x-xy + y = - 1, then the third power of BX + the third power of ay + the third power of by + the third power of AX =?
• 5. Known: x + y = - 2, a + B = - 1 / 2, the square of X - XY + the square of y = - 1, find the cube of BX + the cube of ay + the cube of by+ Known: x + y = - 2, a + B = - 1 / 2, the square of X - XY + the square of y = - 1, find the value of the cube of BX + the cube of ay + the cube of by + the cube of ax. There's another one: 2 (the square of 2A + the square of a) - 11 (the square of 2A + a) - 6
• 6. No matter what values X and Y take, the value of the algebraic formula x minus 4x plus y plus 6x plus 14 is always positive. Please find out the minimum value of this algebraic formula when x and y are of any value?
• 7. Given 2x-y = - 6, find the value of the algebraic formula [(square of X + square of Y) - (square of X-Y) + 2Y (X-Y)] / 4Y without numbers
• 8. Given x + y + Z = 3, XY + YZ + XZ = - 1, XYZ = 2, find x ^ 2Y ^ 2 + y ^ 2Z ^ 2 + x ^ 2Z ^ 2
• 9. 1/x+1/y+1/z=1/x^3+1/y^3+1/z^3+3/x^2y+3/xy^2+3/x^2z+3/xz^2+3/y^z+3/yz^2+6/xyz Find the value of 1 / x + 1 / y + 1 / Z
• 10. What is the minimum value of X + y + Z = 1, √ (x * 2 + XY + y * 2) + √ (Z * 2 + ZY + y * 2) + √ (x * 2 + XZ + Z * 2)?
• 11. Factorization factor (AX + by) (AX + by) + (BX ay) (BX ay)
• 12. In the equation y = ax square + BX + C, when x = 0, y = 3, when x = 1 or x = - 3, y = 0, then what are a, B, C equal to
• 13. In the equation y = ax square + BX + C, when x = 2, y = 3; when x = 0, y = 3; when x = 4, y equals 11. Find the value of y when x equals - 2 I have finished my homework
• 14. In the equation y = ax square + BX + C, when x = - 1, y = 0; when x = 1, y = 2; when x = 2, y = 9. (1) find the value of a, B, C. (2) find the value of y when x is equal to half
• 15. If the definition field of function f (x) = 1ax2 + 4ax + 3 is r, then the value range of real number a is () A. [0，34）B. （0，34）C. （34，+∞）D. （-∞，0）
• 16. It is known that the domain of F (x) = 1 / √ x * x + ax + B is a, and the domain of G (x) = √ k * x * x + 4x + K + 3 is B If (CRA) ∩ B = B, (CRA) ∪ B = {x | x is greater than or equal to 2 and X is less than or equal to 3}, find the value of a and B and the value range of K Note: the value range of K needs detailed process
• 17. F (x) = ax + B, and f (f (x)) = 4x-1, find f (x)
• 18. The domain of function f (x) = - AX2 + 4x + 1 is [- 1, 2]; (1) if a = 2, find the range of function f (x); (2) if a is a non negative constant and function f (x) is a monotone function on [- 1, 2], find the range of a and the range of function f (x)
• 19. Given f (x) = - 3x & # 178; + a (6-A) x, if the inequality f (x) > 0 holds on (1,3), the range of a is obtained -Is radical 6 + 3 ≤ a ≤ radical 6 + 3 to be discarded? The answer is a = 3
• 20. If the inequality 2x + 1 + 1 is greater than AX-1 and X is less than 5, find the value of A Why is the middle step (2-A) x < - 5 instead of (2-A) x > - 5