[3X(-3)-4X(-2)+5X2]+[-2X(-3)+8X(-2)-8X2]
To simplify the given expression [3X(-3) - 4X(-2) + 5X2] + [-2X(-3) + 8X(-2) - 8X2], we need to follow the order of operations, which is also known as BIDMAS (Brackets, Indices, Division and Multiplication, and Addition and Subtraction).
First, let's simplify the expression inside the brackets on both sides:
[3X(-3) - 4X(-2) + 5X2] = [(-9X) - (-8X) + 5X2]
= -9X + 8X + 5X2
[-2X(-3) + 8X(-2) - 8X2] = [6X + (-16X) - 8X2]
= 6X - 16X - 8X2
Now, combining the simplified expressions:
(-9X + 8X + 5X2) + (6X - 16X - 8X2)
Combine like terms by adding or subtracting coefficients of the same variables. We have:
(-9X + 8X) + (5X2 - 8X2) + (6X - 16X)
-1X + (-3X2) - 10X
Therefore, the simplified expression is -1X - 3X2 - 10X.