Question

Please help me with this math question.

Answer 1

Answer:
`(9a^(18)-8b^(8))(9a^(18)+8b^(8))`

Explanation:

Considering properties of exponentiation:

`81a^(36)-64b^(16)=(9a^(18))^2-(8b^8)^2`

Also, considering the formula for square difference:

`x^2-y^2=(x+y)(x-y)`

then, we would get:

`81a^(36)-64b^(16)=(9a^(18)-8b^8)(9a^(18)+8b^8)`

Answer 2

(9a¹⁸ + 8b⁸)(9a¹⁸ - 8b⁸)

Explanation:

The expression 81a³⁶ - 64b¹⁶ can be factored as (9a¹⁸)² - (8b⁸)².

This is a difference between the squares factorization (a²-b²), which can be expressed as (a + b)(a - b).

In this case, a = 9a¹⁸ and b = 8b⁸.

Substituting these values into the factorization, we get:

(9a¹⁸ + 8b⁸)(9a¹⁸ - 8b⁸)