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13-08-2020
Mathematics

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Consider the difference of cubes identity: a3 − b3 = (a − b)(a2 + ab + b2). For the polynomial x3 − 64, a = and b =

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mhanifa mhanifa

13-08-2020

Answer:

a= x, b= 4

Step-by-step explanation:

a³ − b³ = (a − b)(a² + ab + b²)
x³ - 64

Comparing polynomials:

a³= x³ ⇒ a = x
b³= 64 ⇒ b³ = 4³ ⇒ b= 4

Applying same formula:

x³ - 64 = (x- 4)(x² + 4x + 16)

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