Question

what is the sum of the polynomials?

\\((8x^2 - 9y^2 - 4x) + (x^2 - 3y^2 - 7x)\\)

• \\(7x^2 - 6y^2 + 3x\\)
• \\(9x^2 - 6y^2 + 3x\\)
• \\(9x^2 - 12y^2 + 3x\\)
• \\(9x^2 - 12y^2 - 11x\\)

Explanation:

⚡ Using what you learned: adding and subtracting polynomials

Step 1: Group like terms

Group the terms with the same variables and exponents:

$$ (8x^2 + x^2) + (-9y^2 - 3y^2) + (-4x - 7x) $$

Step 2: Combine coefficients

Simplify each grouped set of terms:

$$ 9x^2 - 12y^2 - 11x $$

Answer:

$$ 9x^2 - 12y^2 - 11x $$