ypalanit 4.5 सिद्ध कीजिए कि- 1.1 62...
Question

# ypalanit 4.5 सिद्ध कीजिए कि- 1.1 62 63 =(a - b)(b-c)(c-a)(ab + bc +ca). 2. 12. a b-c c+b atc b c -a a-b bta C = (a +b+c)(a? +b +c?). x y z | -x 2 = 4xyz. -x -y 21 N N y+2 z + x x+y x 7 y y x 2 = (x + y + 2)(x-2)'.

Railway Exams
Maths
Solution
106
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( left|begin{array}{ccc}1 & a^{2} & a^{3} 1 & b^{2} & b^{3} 1 & c^{2} & c^{3}end{array}right| quad begin{array}{c}R_{1}-R_{2}=R_{1} R_{2}-R_{3}=R_{2}end{array} ) ( left[begin{array}{ccc}0 & a^{2}-b^{2} & a^{3}-b^{3} 0 & b^{2}-c^{2} & b^{3}-3 1 & c^{2} & c^{3}end{array}right] quad begin{array}{l}a^{3}-b^{3}=(a-b)left(a^{2}+b^{2}-a bright) a^{2}-b^{2}=(a-b)(a+b)end{array} ) ( (a-b)left[begin{array}{ll}0 & (a+b)left(a^{2}+b^{2}-a bright) 0 & (b+c) & left(b^{2}+c^{2}-b cright)end{array}right) ) ( (b-c)left[begin{array}{ll}c^{2} & c^{3}end{array}right] ) ( (a-b)(b-c)left[(a+b)left(b^{2}+c^{2}-b cright)-(b+c)left(a^{2}+b^{2}-a bright)right. ) ( (a-b)(b-c)left[a b c+b c^{2}+a c^{2}-b a^{2}-a b c-c a^{2}right] ) ( (a-b)(b-c)[c(a b+b c+c a)-a(a b+b c+c a)] ) ( (a-b)(b-c)(c-a)(a b+b c+c a) )