3) $$ \left(6-3 x^{4} y\right)\left(6+3 x^{4} y\right) $$

Question

UpStudy AI · Accepted Answer

To simplify the expression $$ \left(6 - 3x^{4}y\right)\left(6 + 3x^{4}y\right) $$, we can use the difference of squares formula:

$$
(a - b)(a + b) = a^2 - b^2
$$

Here, let:
- $$ a = 6 $$
- $$ b = 3x^4y $$

Applying the formula:

$$
\left(6 - 3x^{4}y\right)\left(6 + 3x^{4}y\right) = 6^2 - (3x^4y)^2
$$

Calculating the squares:

$$
6^2 = 36
$$
$$
(3x^4y)^2 = 9x^8y^2
$$

Substituting these back into the equation:

$$
36 - 9x^8y^2
$$

**Final Simplified Form:**

$$
36 - 9x^{8}y^{2}
$$
The simplified form of the expression is $$ 36 - 9x^{8}y^{2} $$.

3) \( \left(6-3 x^{4} y\right)\left(6+3 x^{4} y\right) \)