x5x2143 x46x213x15Solutionx5x2 14 3 x 46x2 13x 15 x6x

x/5x2-14-3 - x+4/6x2-13x-15

Solution

x/(5x² – 14) – 3 – x + 4/(6x²- 13x – 15) =

[x(6x²- 13x – 15)–(3+ x)( 6x²-13x–15)( 5x²– 14) + 4 ( 5x² – 14)]/ [(6x²- 13x – 15)(5x² -14)] = [ 6x³ – 13x² – 15x – ( 3 + x)( 30x⁴-65x³ -75x² -84x²+ 182x+210)+20x²-56]/ [(6x²- 13x – 15)(5x² -14)]= [ 6x³– 13x² – 15x – (3+x)( 30x⁴-65x³- 159x² +182x+210)+ 20x²-56]/ [(6x²- 13x – 15)(5x² -14)] = [6x³ -13x² –15x–90x⁴+195x³ +477x²- 546x – 630 –30x⁵ + 65x⁴+ 159x³ -182x² -210x + 20x²-56]/ [(6x²- 13x – 15)(5x² -14)] = ( -30x⁵ – 25x⁴+360x³ +302x² -351x -686)/ [(6x²- 13x – 15)(5x² -14)] = ( -30x⁵ – 25x⁴+360x³ +302x² -351x -686) / ( 30x⁴-65x³- 159x² +182x+210)