" 15) "a^(2)-b^(2)+2bc-c^(2)

Factorize: a^(2)-b^(2)+2bc-c^(2)

Factorize each of the following algebraic expressions: 49-a^(2)+8ab-16b^(2)a^(2)-8ab+16b^(2)-25c^(2)x^(2)-y^(2)+6y-925x^(2)-10x+1-36y^(2)a^(2)-b^(2)+2bc-c^(2)

Suppose A, B, C are defined as A = a^(2)b + ab^(2) - a^(2)c - ac^(2), B = b^(2)c + bc^(2) - a^(2)b - ab^(2) , and C = a^(2)c + ac^(2) - b^(2)c - bc^(2) , where a gt b gt c gt 0 and the equation Ax^(2) + Bx + C = 0 has equal roots, then a, b, c are in

Suppose A, B, C are defined as A = a^(2)b + ab^(2) - a^(2)c - ac^(2), B = b^(2)c + bc^(2) - a^(2)b - ab^(2) , and C = a^(2)c + ac^(2) - b^(2)c - bc^(2) , where a gt b gt c gt 0 and the equation Ax^(2) + Bx + C = 0 has equal roots, then a, b, c are in

Factorise : 6a^(2) - 3a^(2) b - bc^(2) + 2c^(2)

(a^(2)-b^(2)-2bc-c^(2))/(a^(2)+b^(2)+2ab-c^(2)) is equivalent to (a-b+c)/(a+b+c)( b) (a-b-c)/(a-b+c)(c)(a-b-c)/(a+b-c)(d)(a+b+c)/(a-b+c)

Factorise by taking at the common factors: (i) ab(a^(2) + b^(2) -c^(2))-bc(c^(2)-a^(2) - b^(2)) +ca(a^(2) + b^(2)-c^(2)) (ii) 2x(a-b) +3y(5a-5b) + 4z(2b-2a)

In a triangle ABC , if a^(2)-b^(2)-c^(2)=bc(lambda^(2)-2lambda-1) , then

det[[bc-a^(2),ca-b^(2),ab-c^(2)ca-b^(2),ab-c^(2),bc-a^(2)ab-c^(2),bc-a^(2),ca-b^(2)]]=det[[a,b,cb,c,ac,a,b]]^(2)