Take -4 + 3a^2 from 7a - a^2.
hint: \(\bf (7a-a^2)-(-4 + 3a^2)\implies 7a - a^2+4-3a^2 \\ \quad \\ 7a \boxed{-3a^2- a^2}+4\impliedby \textit{add like-terms}\)
Answer:
\(-4a^2+7a+4\)
Step-by-step explanation:
We are asked to take \(-4+3a^2\) from \(7a-a^2\).
Taking \(-4+3a^2\) from \(7a-a^2\) means subtracting \(-4+3a^2\) from \(7a-a^2\) as:
\(7a-a^2-(-4+3a^2)\)
Use distributive property:
\(7a-a^2+4-3a^2\)
Combine like terms:
\(-3a^2-a^2+7a+4\)
\(-4a^2+7a+4\)
Therefore, our required expression would be \(-4a^2+7a+4\).