subtract the polynomials
please help having trouble
(-12a^2+3a+3)-(6a^2+3)
- 12 a ^ 2 + 3 a + 3 - ( 6 a ^ 2 + 3 ) =
- 12 a ^ 2 + 3 a + 3 - 6 a ^ 2 - 3 =
- 12 a ^ 2 - 6 a ^ 2 + 3 a + 3 - 3 =
- 18 a ^ 2 + 3 a =
3 a ( - 6 a + 1 ) =
3 a ( 1 - 6 a ) =
-3 a ( 6 a - 1 )
To subtract the polynomials (-12a^2 + 3a + 3) - (6a^2 + 3), follow these steps:
Step 1: Distribute the negative sign to every term in the second polynomial.
(-12a^2 + 3a + 3) - (6a^2 + 3) = -12a^2 + 3a + 3 - 6a^2 - 3
Step 2: Combine like terms. Start by combining the terms with the same exponent of 'a'. In this case, we have -12a^2 and -6a^2.
(-12a^2 + 3a + 3) - (6a^2 + 3) = (-12a^2 - 6a^2) + 3a + 3 - 3
Combine the terms with the same exponent of 'a':
-12a^2 - 6a^2 = -18a^2
Combine the constant terms:
3 - 3 = 0
So, the simplified expression is:
(-12a^2 + 3a + 3) - (6a^2 + 3) = -18a^2 + 3a + 0
Therefore, the subtracted polynomial is -18a^2 + 3a.