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Anit [1.1K]
3 years ago
10

What is the factored form of _________?

Mathematics
1 answer:
enyata [817]3 years ago
4 0

Answer:

C

Step-by-step explanation:

The expression given is a difference of cubes and factors as

a³ - b³ = (a - b)(a² + ab + b²)

8x^{24} = (2x^{8})³ ⇒ a = 2x^{8}

27y^{6} = (3y²)³ ⇒ b = 3y²

Hence 2 factors are

(2x^{8} - 3y²) and

((2x^{8})² + (2x^{8} × 3y²) + (3y²)²)

= (4x^{16} + 6x^{8}y² + 9y^{4})

Hence the factored form of the expression is C

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