if `a = 3+b `, prove that `a^3-b^3-9ab = 27 `

if a=3+b then prove that a^3-b^3-9ab=27

If a+b=1 then prove that a^3+b^3+3ab=1

If a+b+c=5 and ab+bc+ca=10 , then prove that a^3+b^3+c^3-3abc=-25 .

If a+b+c=5 and ab+bc+ca=10, prove that a^3+b^3+c^3-3abc=-25

If a+b+c=5 and ab+bc+ca=10, then prove that a^(3)+b^(3)+c^(3)-3abc=-25 .

If a+b+c=5 and ab+bc+ca=10 ,then prove that a^(3)+b^(3)+c^(3)-3abc=-25.

If a+b+c=5 and ab+bc+ca=10, then prove that a^(3)+b^(3)+c^(3)-3abc=-25 .

Let us solve the equations with the help of identities. Let's try to prove a^3 + b^3 - ab = -frac(1)(27) if a + b = -frac(1)(3)

If A and B be square matrices of the same order such that BA=AB, prove that : (A+B)^3 = A^3 + 3A^2B + 3AB^2 +B^3

If A and B are square matrices such that AB = BA then prove that A^(3)-B^(3)=(A-B) (A^(2)+AB+B^(2)) .