Question

question
subtract $9x^2 + 4x$ from $-4x^2 - 7$.
answer attempt 1 out of 2

Explanation:

Step1: Write the subtraction expression

To subtract \(9x^2 + 4x\) from \(-4x^2 - 7\), we write it as \((-4x^2 - 7)-(9x^2 + 4x)\).

Step2: Distribute the negative sign

Distribute the negative sign to each term in the second polynomial: \(-4x^2 - 7 - 9x^2 - 4x\).

Step3: Combine like terms

Combine the \(x^2\) terms: \(-4x^2-9x^2=-13x^2\). The \(x\) term is \(-4x\) and the constant term is \(-7\). So the expression becomes \(-13x^2 - 4x - 7\).

Answer:

\(-13x^2 - 4x - 7\)