Subtract the polynomials
(6v^2 + 7vd - 3d^2) - (9v^2 - 5vd + 19d^2)
(6v^2 + 7vd - 3d^2) - (9v^2 - 5vd + 19d^2)
= 6v^2 + 7vd - 3d^2 - 9v^2 + 5vd - 19d^2
= ...
easy from there
To subtract polynomials, you need to combine like terms.
Given the expression:
(6v^2 + 7vd - 3d^2) - (9v^2 - 5vd + 19d^2)
1. Start by distributing the negative sign to every term inside the second set of parentheses:
= 6v^2 + 7vd - 3d^2 - 9v^2 + 5vd - 19d^2
2. Next, group the like terms together:
= (6v^2 - 9v^2) + (7vd + 5vd) + (-3d^2 - 19d^2)
The degree and variables of each term match up, so now we can combine the like terms:
= -3v^2 + 12vd - 22d^2
Therefore, the result of subtracting the two given polynomials is -3v^2 + 12vd - 22d^2.