Answers

2015-07-03T23:33:08+08:00
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 )
0
2015-07-03T23:54:22+08:00

This Is a Certified Answer

×
Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
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.

Example:

 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} )


0