Respuesta :

hint:  [tex]\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}[/tex]

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].

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