Using the property of determinants and without expanding, prove that `|(2,7,65), (3,8,75), (5,9,86)|=0`

Using the property of determinants and without expanding prove that abs([2,7,65],[3,8,75],[5,9,86])=0

Using the property of determinants and without expanding,prove that: det[[2,7,653,8,754,9,86]]=0

Using the property of determinants and without expanding,prove that: det[[0,a,-b-a,0,-cb,c,0]]=0

Using the property of determinants and without expanding prove that abs([1,1,1],[a,b,c],[a^3,b^3,c^3])=(a-b)(b-c)(c-a)(a+b+c)

Prove that |[2,7,65],[3,8,75],[5,5,86]|=0

Using the property of determinants and without expanding,prove that: det[[-a^(2),ab,acba,b^(2),bcca,cb,-c^(2)]]=4a^(2)b^(2)c^(2)

Using the property of determinants and without expanding,prove that: det[[x,a,x+ay,b,y+bz,c,z+c]]=0

Using the property of determinants and without expanding prove that abs([p,q,r],[p^2,q^2,r^2],[p^3,q^3,r^3])=pqr(p-q)(q-r)(r-p)

Using the property of determinants and without expanding,prove that: det[[1,bc,a(b+c)1,ca,b(c+a)1,ab,x(a+b)]]=0

Using the property of determinants and without expanding in questions 1 to 7 prove that , |{:(x,a,x+a),(y,b,y+b),(z,c,z+c):}|=0