Proof A Cube add to B Cube Formula

Are you searching for a Cube to add b Cube Formula? girlfriend can inspect the recipe of a cube to add b Cube in this ways. We room going come share the ( a^3 + b^3 ) algebra formulas because that you and how to develop ( a^3 + b^3 ) and also proof.

we know that what is the recipe of ((a+b)^3 ). Usage the of this formula come prove a cube add to b cube formula.

(=> (a+b)^3 = a^3 + b^3 + 3ab (a+b) )

(=> (a+b)^3 – 3ab (a+b)= a^3 + b^3 )




You are watching: A cube plus b cube formula

(=> a^3 + b^3 = (a+b)^3 – 3ab (a+b))

(=> a^3 + b^3 = (a+b) ((a+b)^2 – 3ab) )

we recognize that formula that ( (a+b)^2 =a^2+ b^2 + 2ab )

(=> a^3 + b^3 = (a+b) (a^2+ b^2 + 2ab – 3ab) )

(=> a^3 + b^3 = (a+b) (a^2+ b^2 – ab) )

Proof Formula (=> a^3 + b^3 = (a+b) (a^2+ b^2 – ab) )

Verify ( a^3 + b^3 ) Formula

Need come verify ( a^3 + b^3 ) formula is best or wrong. Placed the worth of a =2 and b=3

put the value of a and b in the LHS

( => a^3 + b^3 = 2^3 + 3^3 )

( = > a^3 + b^3 = 8 + 27 = 35 )

put the worth of a and also b in the RHS

(=> (a+b) (a^2+ b^2 – ab) )

(=> (2+3) (2^2+ 3^2 -2 imes 3) )

(=> (5) (4+ 9 – 6) )

(=> (5) (7) = 35 )

Therefore ( LHS = RHS )

Verify Formula (=> a^3 + b^3 = (a+b) (a^2+ b^2 – ab) )

Summary ( a^3 + b^3 )

If friend have any kind of issues in the ( a^3 + b^3 ) formulas, please let me know through society media and mail. A cube plus B Cube is most necessary algebra maths formulas for course 6 to 12.


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