Question

100 POINTS!!!
What is the sum of 1/2 x-1/3 and 5x^2-2x+6? Write your answer in standard form

Answer 1

$\\ \sf\Rrightarrow \left(\dfrac{1}{2}x-\dfrac{1}{3}\right)+5x^2-2x+6$

$\\ \sf\Rrightarrow \left(\dfrac{x}{2}-\dfrac{1}{3}\right)+5x^2-2x+6$

$\\ \sf\Rrightarrow \dfrac{3x-2}{6}+5x^2-2x+6$

$\\ \sf\Rrightarrow \dfrac{3x-2+30x^2-12x+36}{6}$

$\\ \sf\Rrightarrow \dfrac{30x^2+3x-12x-2+36}{6}$

$\\ \sf\Rrightarrow \dfrac{30x^2-9x+34}{6}$