solve the following a^6 - b^6
Answers
Answer:
a^6-b^6
Identity => (x-y)^m= x^m-y^m
(a-b)^6
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Step-by-step explanation: Factoring the difference of squares:
x^2−y^2=(x+y)(x−y)
Factoring the difference of cubes:
x^3−y^3=(x−y)(x^2+x^y+y^2)
Factoring the sum of cubes:
x^3+y^3=(x+y)(x^2−xy+y^2)
a^6−b^6=(a^3)^2−(b^3)^2
=(a^3+b^3)(a^3−b^3)
=(a+b)(a^2−ab+b^2)(a^3−b^3)
=(a+b)(a^2−ab+b^2)(a−b)(a^2+ab+b^2)