Answer:
[tex]-4a^2+7a+4[/tex]
Step-by-step explanation:
We are asked to take [tex]-4+3a^2[/tex] from [tex]7a-a^2[/tex].
Taking [tex]-4+3a^2[/tex] from [tex]7a-a^2[/tex] means subtracting [tex]-4+3a^2[/tex] from [tex]7a-a^2[/tex] as:
[tex]7a-a^2-(-4+3a^2)[/tex]
Use distributive property:
[tex]7a-a^2+4-3a^2[/tex]
Combine like terms:
[tex]-3a^2-a^2+7a+4[/tex]
[tex]-4a^2+7a+4[/tex]
Therefore, our required expression would be [tex]-4a^2+7a+4[/tex].