Question

(2 + 3k2)(–2 + 3k2)(9k4 + 4)

Answer 1

(2 + 3k²)(-2 + 3k²)(9k⁴ + 4) = (3k² + 2)(3k² - 2)(9k⁴ + 4) = (9k⁴ - 4)(9k⁴ + 4) =

= (9k⁴)² - 4² = 81k⁸ - 16

Answer 2

Объяснение:

.......................

Answer 3

To simplify the expression (2 + 3k^2)(-2 + 3k^2)(9k^4 + 4), you can use the distributive property of multiplication. First, multiply the first two terms:

(2 + 3k^2)(-2 + 3k^2) = (2 * -2) + (2 * 3k^2) + (3k^2 * -2) + (3k^2 * 3k^2)

Now, simplify this part:

-4 + 6k^2 - 6k^2 + 9k^4

Notice that the middle terms (-6k^2 and +6k^2) cancel each other out. So, the expression becomes:

-4 + 9k^4

Now, multiply this result by the last term (9k^4 + 4):

(-4 + 9k^4)(9k^4 + 4)

Use the distributive property again:

(-4 * 9k^4) + (-4 * 4) + (9k^4 * 9k^4) + (9k^4 * 4)

Simplify:

-36k^4 - 16 + 81k^8 + 36k^4

Now, combine like terms:

81k^8 - 16

So, the simplified expression is:

81k^8 - 16