Question

1. combine like terms. - 3y³ + 3x³ - 5x - x³ - x - 2x³
2. combine like terms. - 4x³ - 6y³ + y³ - 3 + x³ + x³ + 4y³

Explanation:

Step1: Identify like - terms in the expression $-4x^{3}-6y^{3}+y^{3}-3 + x^{3}+x^{3}+4y^{3}$

Like - terms are terms with the same variable(s) raised to the same power(s).

Step2: Combine $x^{3}$ terms

$-4x^{3}+x^{3}+x^{3}=(-4 + 1+1)x^{3}=-2x^{3}$

Step3: Combine $y^{3}$ terms

$-6y^{3}+y^{3}+4y^{3}=(-6 + 1+4)y^{3}=-y^{3}$

Step4: Write the simplified expression

The simplified expression is $-2x^{3}-y^{3}-3$

Answer:

$-2x^{3}-y^{3}-3$