Formula of sum and difference of two cubes:
a cube + b cube = ( a + b )( a squared - ab + b squared )
a cube - b cube = ( a - b )( a squared + ab - b squaed )

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The formula in finding the sum or difference of two cubes is:

a^{3} +  b^{2} = (a + b)(a^{2} - ab +  b^{2} )
a^{3} -  b^{3} = (a - b)( a^{2} + ab +  b^{2} )

*Always remember that SDOTC always work with binomials.


 8 x^{6} +  y^{3}

First, we need to find the cube root of the terms of the binomial.

8x^{3} = 2 x^{2}
y^{3} = y

2x^{2} + y

Next, we need to get the trinomial of the binomial on its special form.

Recall SOPAS

S - Square of the first term
O - Opposite sign of the second term
P - Product of the first and second term
A - Addition or the positive sign
S - Square of the last term or the second term

(2 x^{2} + y)(4 x^{4} - 2 x^{2}y +  y^{2} )