The equivalent of (x -3) (x - 5) = 10 in standard form is:
x^2 + 2x - 25 = 0.
The standard form of quadratic equation is:
y = ax^2 + bx + c in which a ≠ 0.
To find the equivalent standard form of (x -3) (x - 5) = 10, you must multiply (x - 3) with (x + 5) using the FOIL method:
x ^2 + 5x - 3x - 15 = 10
Add like terms:
x ^2 + 2x - 15 = 10
Subtract 10 to both sides of the equation:
x ^2 + 2x - 15 - 10 = 10 - 10
The final answer is:
x^2 + 2x - 25 = 0 where a = 1, b = 2, and c = - 25.
