Choose the answer that best simplifies the following expression: \displaystyle (5r^2 +3r - 5) - (4r^2+5r - 8)

Choose the answer that best simplifies the

Multiple choice — select the best answer

A<tex>\displaystyle r^2 +2r +3</tex>
B<tex>\displaystyle r^2 +2r -3</tex>
C<tex>\displaystyle r^2 -2r - 3</tex>
D<tex>\displaystyle r^2 -2r +3</tex>

✓ Correct answer: D. <tex>\displaystyle r^2 -2r +3</tex> To simplify, remove parentheses and combine like terms, remembering the ever-important step of applying the negative sign to each term within the second set of parentheses: <tex>\displaystyle 5r^2 +3r - 5 -4r^2 -5r +8</tex> <tex>\displaystyle 5r^2 -4r^2 +3r-5r-5+8</tex> <tex>\displaystyle r^2 -2r +3</tex>

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Choose the answer that best simplifies the following expression:<br/><br/><tex>\displaystyle (5r^2 +3r - 5) - (4r^2+5r - 8)</tex>

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