Question

(x - 7)(x2 + 7x + 49) ​

Answer 1

Ответ:

(x + 7) * (x^2 - 7x + 49) = x * (x + 8) * (x - 7);

x^3 - 7x^2 + 49x + 7x^2 - 49x + 343 = x * (x + 8) * (x - 7);

x^3 + 343 = x * (x + 8) * (x - 7);

x^3 + 343 = (x^2 + 8x) * (x - 7);

x^3 + 343 = x^3 - 7x^2 + 8x^2 - 56x;

x^3 + 343 = x^3 + x^2 - 56x.

Answer 2

Пошаговое объяснение:

х×(х×2+7х+49)-7(х×2+7х+49)

2х²+7х²+49х-14х-49х-343

9х²-14х-349

Answer 3

To simplify the expression $(x - 7)(x^2 + 7x + 49)$, you can use the distributive property, also known as FOIL (First, Outer, Inner, Last).

Let's break it down step by step:

1. Multiply the first terms in each binomial: $x \cdot x^2 = x^3$

2. Multiply the outer terms in each binomial: $x \cdot 7x = 7x^2$

3. Multiply the inner terms in each binomial: $-7 \cdot x^2 = -7x^2$

4. Multiply the last terms in each binomial: $-7 \cdot 7x = -49x$

Now, combine all these results:

$x^3 + 7x^2 - 7x^2 - 49x$

Notice that the $7x^2$ and $-7x^2$ terms cancel each other out, so you're left with:

$x^3 - 49x$

So, $(x - 7)(x^2 + 7x + 49)$ simplifies to $x^3 - 49x$.