Answer:
Explanation:
Let's first expand the left side of the given equation:
(2x+5)a + (x+3)b = 2x+4
2xa + 5a + xb + 3b = 2x + 4
Now, let's group the terms with x and the terms without x:
(2a + b)x + (5a + 3b) = 2x + 4
We can see that the coefficients of x are equal on both sides, so we can equate the coefficients of x and the constant terms separately:
2a + b = 2 (1)
5a + 3b = 4 (2)
Solving these two equations, we get:
a = 2/7
b = 8/7
Now, we can substitute these values of a and b into the expression (a-b)^2 and simplify:
(a-b)^2 = (2/7 - 8/7)^2
= (-6/7)^2
= 36/49
Therefore, the value of (a-b)^2 is 36/49.