Question

(x^9-y^5)(-x^9-y^5)​

Answer 1

$(x^9-y^5)(x^9+y^5)=(x^9)^2-(y^5)^2=x^{18}-y^{10}$

Answer 2

Ответ:

Объяснение:

(x^9-y^5)(-x^9-y^5)​ =-(x^9-y^5)(x^9+y^5)=-(x^18-y^10)=y^10-x^18

Answer 3

To simplify the expression $(x^9 - y^5)(-x^9 - y^5)$, you can use the distributive property of multiplication (also known as FOIL - First, Outer, Inner, Last):

$(x^9 - y^5)(-x^9 - y^5) = x^9 \cdot (-x^9) + x^9 \cdot (-y^5) + (-y^5) \cdot (-x^9) + (-y^5) \cdot (-y^5)$

Now, let's simplify each term:

1. $x^9 \cdot (-x^9) = -x^{18}$
2. $x^9 \cdot (-y^5) = -x^9y^5$
3. $(-y^5) \cdot (-x^9) = x^9y^5$
4. $(-y^5) \cdot (-y^5) = y^{10}$ (When multiplying two negatives, the result is positive)

Putting it all together, we get:

$(-x^{18}) + (-x^9y^5) + (x^9y^5) + y^{10}$

The term $(-x^9y^5) + (x^9y^5)$ cancels out since they have opposite signs and the same magnitude. Thus, the final simplified expression is:

$-x^{18} + y^{10}$