Question

( c - 8 )^2 81а^2 - 72ab + 16b^2

Answer 1

Ответ:

Ответ прикреплен. Надеюсь, я правильно понял задание.

Answer 2

Ответ:

100−x

2

=(10−x)(10+x)

121a

2

−25b

2

=(11a+5b)(11a−5b)

(c - 8 {)}^{2} = (c-8)(c+8)(c−8)

2

=(c−8)(c+8)

\begin{gathered} {82a}^{2} - 72ab + {16b}^{2} = \\ 2(41 {a}^{2} - 36ab + 8 {b}^{2} )\end{gathered}

82a

2

−72ab+16b

2

=

2(41a

2

−36ab+8b

2

)

Answer 3

It seems like you want to expand the expression $(c - 8)^2$ and then multiply it by $81a^2 - 72ab + 16b^2$. Let's break this down step by step.

First, expand $(c - 8)^2$:

$(c - 8)^2 = c^2 - 16c + 64$

Now, multiply this expression by $81a^2 - 72ab + 16b^2$:

$(c^2 - 16c + 64)(81a^2 - 72ab + 16b^2)$

To simplify this expression, you can use the distributive property to multiply each term in the first expression by each term in the second expression:

$$\begin{align*} &= c^2(81a^2 - 72ab + 16b^2) - 16c(81a^2 - 72ab + 16b^2) + 64(81a^2 - 72ab + 16b^2) \end{align*}$$

Now, let's simplify each term:

1. $c^2$ times each term in the second expression:

$$c^2 \cdot 81a^2 = 81a^2c^2$$

$$c^2 \cdot (-72ab) = -72abc^2$$

$$c^2 \cdot 16b^2 = 16b^2c^2$$

2. $-16c$ times each term in the second expression:

$$-16c \cdot 81a^2 = -1296a^2c$$

$$-16c \cdot (-72ab) = 1152abc$$

$$-16c \cdot 16b^2 = -256b^2c$$

3. $64$ times each term in the second expression:

$$64 \cdot 81a^2 = 5184a^2$$

$$64 \cdot (-72ab) = -4608ab$$

$$64 \cdot 16b^2 = 1024b^2$$

Now, let's put all of these simplified terms back together:

$$81a^2c^2 - 72abc^2 + 16b^2c^2 - 1296a^2c + 1152abc - 256b^2c + 5184a^2 - 4608ab + 1024b^2$$

You can further simplify this expression if needed, but this is the expanded and multiplied expression.