Perform the operation.left bracket, 2, x, squared, minus, 4, right bracket, minus, left bracket, minus, x, squared, plus, 3, x, minus, 6, right bracket(2x 2 −4)−(−x 2 +3x−6)
Question
Perform the operation.left bracket, 2, x, squared, minus, 4, right bracket, minus, left bracket, minus, x, squared, plus, 3, x, minus, 6, right bracket(2x 2 −4)−(−x 2 +3x−6)
Solution
The operation you provided is: (2x^2 - 4) - (-x^2 + 3x - 6)
Step 1: Remove the brackets. When removing brackets, remember that a negative sign before the bracket changes the sign of all terms inside the bracket. So, the operation becomes:
2x^2 - 4 + x^2 - 3x + 6
Step 2: Combine like terms. This means adding or subtracting the coefficients of the terms that have the same variable and exponent. The operation becomes:
(2x^2 + x^2) - 3x + (-4 + 6)
Step 3: Simplify the operation:
3x^2 - 3x + 2
So, (2x^2 - 4) - (-x^2 + 3x - 6) simplifies to 3x^2 - 3x + 2.
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