Question

what is the derivation of a cube + b cube

Answer 1

(a+b)^3=a^3+b^3+3ab(a+b)
a^3+b^3=(a+b)^3-3ab(a+b)
:-)

Answer 2

Hola Mate!❤❤

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This question is based on the lesson of Polynomials, Grade - 9.

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In this question, we are asked to derive the formula,

a³ + b³= (a + b)(a² - ab + b²)

Here, we expand the RHS to obtain the LHS and then derive the equation.

a³ + b³= (a + b)(a² - ab + b²)

          =  a (a² - ab + b²) + b ( a² - ab + b²)

          =  a³ - a²b + ab² + a²b - ab² + b³

(Here -a²b and a²b are cut and  ab² and - ab² are cut)

          =  a³ + b³

∴ LHS = RHS

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That was the answer mate!

#BeBrainly