Question

− 6 x^2 ( 4 x + 8 ) ( − 8 x^2 − 2 )

Answer 1

Ответ:

-6x²(4x+8)(-8x²-2)=(-24x³-48x²)(-8x²-2)=192x^5 +48x³+38x⁴+96x²=192x^5 + 384x⁴+48x³+96x².

Answer 2

-6x²(4x+8)(-8x²-2)=

(-24х³- 48x² )*(-8х²-2)=

192х⁵ + 48х³ + 384х⁴ + 96х²=

192х⁵ + 384х⁴ + 48x³+ 96х²

Answer 3

To simplify the expression $−6x^2(4x + 8)(−8x^2 − 2)$, you can start by expanding the expression step by step:

1. Multiply $−6x^2$ by $4x$ and $8$: $−6x^2(4x + 8) = −24x^3 − 48x^2$

2. Multiply the result from step 1 by $-8x^2$ and $-2$: $(-24x^3 − 48x^2)(-8x^2 − 2)$

Now, you can use the distributive property to multiply the terms in the first set of parentheses by the terms in the second set of parentheses:

$(-24x^3)(-8x^2) + (-24x^3)(-2) + (-48x^2)(-8x^2) + (-48x^2)(-2)$

Let's calculate each of these multiplications step by step:

1. $(-24x^3)(-8x^2) = 192x^5$ (Note that the product of two negative numbers is positive).

2. $(-24x^3)(-2) = 48x^3$ (Again, the product of two negatives is positive).

3. $(-48x^2)(-8x^2) = 384x^4$ (Positive product).

4. $(-48x^2)(-2) = 96x^2$ (Positive product).

Now, combine these results:

$192x^5 + 48x^3 + 384x^4 + 96x^2$

To simplify further, you can arrange the terms in descending order of the exponent:

$192x^5 + 384x^4 + 48x^3 + 96x^2$

So, the simplified expression is $192x^5 + 384x^4 + 48x^3 + 96x^2$.