Question

Factor 64 – x15. (4 – x3)(16 + 4x3 + x3) (4 – x3)(16 + 4x3 + x6) (4 – x5)(16 + 4x5 + x5) (4 – x5)(16 + 4x5 + x10)

Answer 1

Answer:

(4 - $x^{5}$ )(16 + 4$x^{5}$ + $x^{10}$ )

Step-by-step explanation:

64 - $x^{15}$ ← is a difference of cubes and factors in general as

a³ - b³ = (a - b)(a² + ab + b²), thus

64 - $x^{15}$

= 4³ - ($x^{5}$ )³

= (4 - $x^{5}$ )(4² + 4$x^{5}$ + ($x^{5}$ )² )

= (4 - $x^{5}$ )(16 + 4$x^{5}$ + $x^{10}$)

Answer 2

Answer:

D :)

Step-by-step explanation: