(ax+by)^2+(ay-bx)^2+2(ax+by)(ay-by)

(ax+by)^2+(ay-bx)^2+2(ax+by)(ay-by)

The original formula is exactly a complete square formula (AX + by) ^ 2 + (ay BX) ^ 2 + 2 (AX + by) (ay BX) = (AX + by + ay BX) & #;

(ax+by)^2+(bx-ay)^2
(x-y)^2+4(x-y+1)
Decomposition in real number range:
-2m^2+10
m^4-6m^2+9

ax+by-ay-bx

ax+by-ay-bx
=x(a-b)-y(a-b)
=(a-b)(x-y)

Let f (x) = AX2 + x-a, and the maximum value of X ∈ [- 1,1] be m (a), then when a ∈ [- 1,1], the maximum value of M (a) is m (a)______ ．

If a = 0, then f (x) = x, and the maximum value of X ∈ [- 1, 1] is m (a) = 1. If a ≠ 0, the symmetry axis of quadratic function x = − 12a, if 0 < a < 1, − 12a ≤− 12. When x = 1, the maximum value of function is m (a) = f (1) = a + 1-A = 1, if = - 1 ≤ a < 0, − 12a ≥ 12