Adding and Subtracting Polynomials Lesson

"Sum" means to ​ (a)   the polynomials.

"Difference" means to ​ (b)   the polynomials.

Why did she start with combining the squared terms?

When adding polynomials, we combine terms that have the same ______ and ______.

Simplify the following expression:

$$\left(7y^2+2y-3\right)+\left(2-4y+5y^2\right)$$

Why can't she drop the parenthesis when it's subtraction (like she did with addition)?

Simplify the polynomial.

$$\left(4x^2-2x+7\right)-\left(3x-7x^2-9\right)$$

​ (a)   x² + ​ (b)   x + ​ (c)  

Simplify the following expression.

(Use the ^ sign to indicate exponents in your response.)

$$\left(6y^2+8y^4-5y\right)+\left(9y^4-7y+y^2\right)$$

Simplify the expression.

$$\left(6y^2+8y^4-5y\right)-\left(9y^4-7y+2y^2\right)$$

The last answer was a ​ (a)   degree of ​ (b)   with a leading coefficient of ​ (c)   .