Answer:
Therefore, the problem in standard form is Y = 2X^2 + 2X - 12.
Step-by-step explanation:
To convert the given problem to standard form, we need to expand and simplify the expression:
Y = 2 (X - 2) (X + 3)
Y = 2 (X^2 + 3X - 2X - 6) [Apply the distributive property]
Y = 2 (X^2 + X - 6) [Combine like terms]
Y = 2X^2 + 2X - 12 [Multiply 2 with each term]