A cube plus b cube plus c cube 3abc formula. Do you know the formula for a cube plus b cubethis formula if you learn it will be very useful while solving sums on algebraactually a cube plus b cube formula can be derived from the formula a plus b whole cube. There is a formula a cube b cube c cube 3abcabca sq b sq c sq 2 ab 2 bc 2 ca given a bc 0 so right hand side is totally zero then a cube b cube c cube 3abc proved siddhartharao77 siddhartharao77 given a b c 0 can be. We are going to share the abc3 algebra formulas for you as well as how to create abc3 and proof.
A 3 b 3 c 3 3abc. For geometrical explanation watch httpyoutube5x4gjpchsiy learn algebra identity a cube plus b cube. Httpyoutube9rhjt0gxlcy geometrical explanation and derivation of algebra identity or cubic identity or formula for a cube plus b cube.
Solve 8a 3 27b 3 125c 3 30abc solution. You can check the formulas of a plus b plus c whole cube in three ways. A 3 b 3 c 3 3abc a b ca 2 b 2 c 2 ab bc ca where a 2a b 3b and c 5c now apply values of a b and c on the lhs of identity ie.
A cube b cube. I hope you know the formula of a plus b whole cubeif you dont know first learn that formula because we can find the formula of a cube plus b cube very easily. How is this identity obtained.
A cube plus b cube formula solved questions. A b ca 2 b 2 c 2 ab bc ca multiply each term of first polynomial with every term of second polynomial as shown below. In this video we provide a step by step explanatio.
A3 b3 c3 3abc a b ca2 b2 c2 ab bc ca using the distributive rule on the right we get. Aa2 b2 c2 ab bc ac. A3 plus b3 plus c3 minus 3abc formula identity proof.
Taking rhs of the identity. Given polynomial 8a 3 27b 3 125c 3 30abc can be written as. A3 b3 c3 3abc a b ca b c2 ab bc ca im also going to assume that what you really meant to type was the following because otherwise the statement doesnt hold.
Solving linear equations using elimination method.
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