a) To solve the equation (x+2)×(x-y+8)=0, we can set each factor equal to zero and solve for x and y separately.

Setting x+2=0, we subtract 2 from both sides:
x = -2

Setting x-y+8=0, we subtract 8 from both sides:
x-y = -8

To solve for y, we can substitute x = -2 into the second equation:
-2 - y = -8
Subtracting -2 from both sides:
-y = -6
Dividing both sides by -1 (or multiplying by -1):
y = 6

Therefore, the solution to the equation (x+2)×(x-y+8)=0 is x = -2 and y = 6.

b) To solve the equation (x -3)×(y+5)=0, we can set each factor equal to zero and solve for x and y separately.

Setting x - 3 = 0, we add 3 to both sides:
x = 3

Setting y + 5 = 0, we subtract 5 from both sides:
y = -5

Therefore, the solution to the equation (x -3)×(y+5)=0 is x = 3 and y = -5.