-4x^2(3x^2-x+1)=-12x^4+4x^3-1x^2
*Is this correct.?
The last term should be -4x^2
To check if the equation is correct, we can simplify both sides and see if they are equal:
Starting with the left side:
-4x^2(3x^2 - x + 1)
Multiplying -4x^2 by each term inside the parentheses:
-4x^2 * 3x^2 = -12x^4
-4x^2 * (-x) = 4x^3
-4x^2 * 1 = -4x^2
Therefore, the left side simplifies to:
-12x^4 + 4x^3 - 4x^2
Comparing this to the right side of the equation:
-12x^4 + 4x^3 - 4x^2
Since the left side and the right side of the equation are the same, we can conclude that the equation is correct.