Simplifying Terms in Polynomial Operations

Refining a Revenue Projection Model

Simplifying $a^2 + 7b^2 - 6a^2$

Finding the Sum $(7y^2 - 2y + 9) + (4y^2 - 8y - 7)$

Finding the Sum $(7x^2 - 4x + 5) + (x^2 - 7x + 3)$

Finding the Sum $(14y^2 + 6y - 4) + (3y^2 + 8y + 5)$

Finding the Difference $(8x^2 + 3x - 19) - (7x^2 - 14)$

Finding the Difference $(9b^2 - 5b - 4) - (3b^2 - 5b - 7)$

Finding the Difference $(9w^2 - 7w + 5) - (2w^2 - 4)$

Subtracting $(p^2 + 10pq - 2q^2)$ from $(p^2 + q^2)$

Finding the Sum $(u^2 - 6uv + 5v^2) + (3u^2 + 2uv)$

Simplifying $(a^3 - a^2b) - (ab^2 + b^3) + (a^2b + ab^2)$

Simplifying $(x^3 - x^2y) - (xy^2 + y^3) + (x^2y + xy^2)$

Simplifying $(p^3 - p^2q) + (pq^2 + q^3) - (p^2q + pq^2)$

Addition of Polynomial Functions

Arrange the steps in order to simplify $(5x^2 + 3x) - (2x^2 - x)$.

When subtracting one polynomial from another, what is the first step?

The Commutative Property of Addition lets you reorder the terms of a polynomial so like terms can be grouped together.

Match each term to its meaning for adding and subtracting polynomials.

When you add the like terms $25x^2$ and $15x^2$, what happens to the variable part?

Explain how to subtract one polynomial from another. What extra step is needed compared to adding polynomials?

Before subtracting a polynomial, change the _____ of each of its terms.

When combining $3x^2$ and $5x^2$, which parts are added?