Question
A) \( 4 a^{2}-8 a^{2}+4 \)
Ask by Fernandez Griffiths. in Colombia
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
La expresión simplificada es \(-4a^{2}+4\).
Solution
Calculate or simplify the expression \( 4a^2-8a^2+4 \).
Simplify the expression by following steps:
- step0: Solution:
\(4a^{2}-8a^{2}+4\)
- step1: Subtract the terms:
\(-4a^{2}+4\)
La expresión simplificada es \(-4a^{2}+4\).
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain 
Simplify this solution Bonus Knowledge
Let’s simplify the expression! First, combine the like terms \(4a^{2}\) and \(-8a^{2}\). That gives us \(-4a^{2}\). Now, adding the constant \(4\) back in, we get the final expression: \(-4a^{2} + 4\). Voila! It's all tidied up. Now, if you'd like to factor it out, you can pull out a common factor. Notice that both terms share a factor of \(-4\): \( -4(a^{2} - 1) \). And even better, you can recognize that \(a^{2} - 1\) is a difference of squares, which factors to \(-4(a - 1)(a + 1)\)! So there you go—a neat and tidy result.
