(i) \(x^{2}-3x+5-\frac{1}{2}(3x^{2}-5x+7)\)
(ii) \([5-3x+2y-(2x-y)]-(3x-7y+9)\)
= 5 – 3x + 2y – 2x + y – 3x + 7y – 9
= - 8x + 10y – 4
(iii) \(\frac{11}{2}x^{2}y-\frac{9}{4}xy^{2}+\frac{1}{4}xy-\frac{1}{14}y^{2}x+\frac{1}{15}yx^{2}+\frac{1}{2}xy\)
(iv) \((\frac{1}{3}y^{2}-\frac{4}{7}y+11)-(\frac{1}{7}y-3+2y^{2})-(\frac{2}{7}y-\frac{2}{3}y^{2}+2)\)
(v) \(-\frac{1}{2}a^{2}b^{2}c^{2}+\frac{1}{3}ab^{2}c-\frac{1}{4}abc^{2}-\frac{1}{5}cb^{2}a^{2}+\frac{1}{6}cb^{2}a-\frac{1}{7}c^{2}ab+\frac{1}{8}ca^{2}b\)