Question

question
find the sum of $-8x - 3$ and $-7x^2 + 2x + 4$.

Explanation:

Step1: Write the sum expression

To find the sum of \(-8x - 3\) and \(-7x^2 + 2x + 4\), we write the expression as \((-8x - 3)+(-7x^2 + 2x + 4)\).

Step2: Remove parentheses

Using the rule of removing parentheses (distributive property of addition, which is essentially just dropping the parentheses when adding), we get \(-8x - 3 - 7x^2 + 2x + 4\).

Step3: Combine like terms

• For the \(x^2\) term: There is only \(-7x^2\), so it remains \(-7x^2\).
• For the \(x\) terms: \(-8x+2x = (-8 + 2)x=-6x\).
• For the constant terms: \(-3 + 4=1\).

Putting it all together, we have \(-7x^2-6x + 1\).

Answer:

\(-7x^2-6x + 1\)