Question

3–4 simplify.

1. $(9x^{4} - 12x^{3}y + 3y^{2}) + (x^{4} - 5x^{3}y + 14y^{2})$

Explanation:

Step1: Remove parentheses

$9x^4 - 12x^3y + 3y^2 + x^4 - 5x^3y + 14y^2$

Step2: Combine like $x^4$ terms

$9x^4 + x^4 = 10x^4$

Step3: Combine like $x^3y$ terms

$-12x^3y - 5x^3y = -17x^3y$

Step4: Combine like $y^2$ terms

$3y^2 + 14y^2 = 17y^2$

Step5: Combine all simplified terms

$10x^4 - 17x^3y + 17y^2$

Answer:

$10x^4 - 17x^3y + 17y^2$