Answer :
Answer:
2a^2+ 9ab+ (-7b^2)
Step by Step Explanation
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The simplified expression of [tex](5a^2 + 4ab - 3b^2) - (-5ab + 4b^2 + 3a^2)[/tex] is [tex]2a^2+ 9ab - 7b^2[/tex].
The expression is given as:
[tex](5a^2 + 4ab - 3b^2) - (-5ab + 4b^2 + 3a^2)[/tex]
Remove brackets
[tex](5a^2 + 4ab - 3b^2) - (-5ab + 4b^2 + 3a^2) = 5a^2 + 4ab - 3b^2 +5ab - 4b^2 - 3a^2[/tex]
Collect like terms
[tex](5a^2 + 4ab - 3b^2) - (-5ab + 4b^2 + 3a^2) = 5a^2 - 3a^2+ 4ab +5ab - 3b^2 - 4b^2[/tex]
Evaluate like terms
[tex](5a^2 + 4ab - 3b^2) - (-5ab + 4b^2 + 3a^2) = 2a^2+ 9ab - 7b^2[/tex]
The equation cannot be further simplified.
Hence, the simplified expression is [tex]2a^2+ 9ab - 7b^2[/tex]
Read more about simplification at:
https://brainly.com/question/8008182