A3-b3=(a-b)(a2+an+b2) 64x6-27
1 answer:
<span>a³-b³=(a-b)(a²+ab+b²)
64x⁶ - 27
64 = 4³,
x⁶ = (x²)³
27 = 3³
</span>64x⁶ - 27 = 4³(x²)³ -3³ = (4x²)³ -3³. Now, we can use a formula where a=4x², b=3
(4x²)³ -3³ = (4x² -3)((4x²)² +4x²*3 + 3²) = (4x² -3)(16x⁴ +12x² + 9)
<span>
Answer: </span>64x⁶ - 27= (4x² -3)(16x⁴ +12x² + 9) <span>
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