Question

add.
$(2x^3 + 4x^2 + 1) + (x^3 - x^2 - 4)$
express the answer in standard form.
enter your answer in the box.

Explanation:

Step1: Remove parentheses

Remove the parentheses from the expression: \( (2x^{3}+4x^{2}+1)+(x^{3}-x^{2}-4)=2x^{3}+4x^{2}+1+x^{3}-x^{2}-4 \)

Step2: Combine like terms

Combine the \( x^{3} \) terms: \( 2x^{3}+x^{3}=3x^{3} \)
Combine the \( x^{2} \) terms: \( 4x^{2}-x^{2}=3x^{2} \)
Combine the constant terms: \( 1 - 4=-3 \)

Step3: Write in standard form

Put the combined terms together in standard form (descending powers of \( x \)): \( 3x^{3}+3x^{2}-3 \)

Answer:

\( 3x^{3}+3x^{2}-3 \)