Question

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

Answer 1

a= x, b= 4

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)