Question

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

Answer 1

Answer :

$\underline{\boxed{\sf{-7x^2 - \frac{13}{10} x +5}}}$

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:

$\sf{-11x^2 + \frac{14}{10} x - 3 + 4x^2 - \frac{27}{10} x + 8}$

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

$\sf{-11x^2 + \frac{7}{5} x - 3 + 4x^2 - \frac{27}{10}x + 8}$

Combine like terms:

$\sf{-7x^2 - \frac{13}{10} x +5}$