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(-11x^2 + 1.4x - 3) + (4x^2 - 2.7x + 8)

1 Answer

8 votes

Answer :


\underline{\boxed{\sf{-7x^2 - (13)/(10) x +5}}}

Solution :-


\sf{(-11x^2 + 1.4x - 3) + (4x^2 - 2.7x + 8)}

Remove the parentheses:


\sf{-11x^2 + 1.4x - 3 + 4x^2 - 2.7x + 8}

Convert decimal to fraction:


\sf{-11x^2 + (14)/(10) x - 3 + 4x^2 - (27)/(10) x + 8}

Reduce fraction to the lowest term by canceling the greatest common factor:


\sf{-11x^2 + (7)/(5) x - 3 + 4x^2 - (27)/(10)x + 8}

Combine like terms:


\sf{-7x^2 - (13)/(10) x +5}

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