Take away: (i) 65x2−45x3+56+32x from x33−52x2+35x+14 (ii) 5a22+3a

1.	Take away: (i) 65x2−45x3+56+32x from x33−52x2+35x+14 (ii) 5a22+3a32+a3−65 from 13a3−34a2−52 (iii) 74x3+35x2+12x+92 from 72−x3−x25 (iv) y33+73y2+12y+12 from 13−53y2 (v) 23ac−57ab+23bc from 32ab−74ac−56bc
Answer» Take away: $(i) \frac{6}{5} x^{2} - \frac{4}{5} x^{3} + \frac{5}{6} + \frac{3}{2} x from \frac{x^{3}}{3} - \frac{5}{2} x^{2} + \frac{3}{5} x + \frac{1}{4}$ $(i i) \frac{5 a^{2}}{2} + \frac{3 a^{3}}{2} + \frac{a}{3} - \frac{6}{5} from \frac{1}{3} a^{3} - \frac{3}{4} a^{2} - \frac{5}{2}$ $(i i i) \frac{7}{4} x^{3} + \frac{3}{5} x^{2} + \frac{1}{2} x + \frac{9}{2} from \frac{7}{2} - \frac{x}{3} - \frac{x^{2}}{5}$ $(i v) \frac{y^{3}}{3} + \frac{7}{3} y^{2} + \frac{1}{2} y + \frac{1}{2} from \frac{1}{3} - \frac{5}{3} y^{2}$ $(v) \frac{2}{3} a c - \frac{5}{7} a b + \frac{2}{3} b c from \frac{3}{2} a b - \frac{7}{4} a c - \frac{5}{6} b c$

Take away: (i) 65x2−45x3+56+32x from x33−52x2+35x+14 (ii) 5a22+3a32+a3−65 from 13a3−34a2−52 (iii) 74x3+35x2+12x+92 from 72−x3−x25 (iv) y33+73y2+12y+12 from 13−53y2 (v) 23ac−57ab+23bc from 32ab−74ac−56bc

Answer»

Take away:

$(i) \frac{6}{5} x^{2} - \frac{4}{5} x^{3} + \frac{5}{6} + \frac{3}{2} x from \frac{x^{3}}{3} - \frac{5}{2} x^{2} + \frac{3}{5} x + \frac{1}{4}$

$(i i) \frac{5 a^{2}}{2} + \frac{3 a^{3}}{2} + \frac{a}{3} - \frac{6}{5} from \frac{1}{3} a^{3} - \frac{3}{4} a^{2} - \frac{5}{2}$

$(i i i) \frac{7}{4} x^{3} + \frac{3}{5} x^{2} + \frac{1}{2} x + \frac{9}{2} from \frac{7}{2} - \frac{x}{3} - \frac{x^{2}}{5}$

$(i v) \frac{y^{3}}{3} + \frac{7}{3} y^{2} + \frac{1}{2} y + \frac{1}{2} from \frac{1}{3} - \frac{5}{3} y^{2}$

$(v) \frac{2}{3} a c - \frac{5}{7} a b + \frac{2}{3} b c from \frac{3}{2} a b - \frac{7}{4} a c - \frac{5}{6} b c$