Subtract (3x2 + 2x - 9) - (6x2 - 16). Write your answer as a polynomial

The answer is - 3x^2+2x+7 ...

Step-by-step explanation:

(3x2 + 2x - 9) - (6x2 - 16)

Open the parenthesis

Keep in mind that when you will open the parenthesis the signs of 2nd bracket will be multiplied by negative sign

3x^2+2x-9-6x^2+16

Arrange the terms:

3x^2-6x^2+2x+16-9

Solve the like terms:

= - 3x^2+2x+7

Thus the answer is - 3x^2+2x+7 ...

= (3x²+2x-9) - (6x²-16)

= 3x² + 2x - 9 - 6x² + 16

= - 3x² + 2x + 7

While opening the brackets, make sure you change the signs accordingly. If there is a "-" sign outside the bracket then while opening the brackets, terms inside change their signs, which means "+" becomes "-" and vice versa.