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Cindy Lou Who
22 August, 23:11
Factorize 216x^3 + 64y^3
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Alexia Bond
23 August, 02:43
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8 (3x+2y) (9x^2 - 6xy + 4y^2)
Step-by-step explanation:
216x^3 + 64y^3
Factor out the greatest common factor of 8
8 (27x^3 + 8y^3)
Rewriting
8 ((3x) ^3 + (2y) ^2))
Recognizing this as the difference of cubes)
a^3 + b^3 = (a+b) (a^2-ab+b^2)
8 ((3x) ^3 + (2y) ^2)) = 8 (3x+2y) (9x^2 - (3x) (2y) + 4y^2)
=8 (3x+2y) (9x^2 - 6xy + 4y^2)
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