Question

7.14 1) (1+х)(1-х)(1+х²); 2)5х²-3(х+1)(х -1);

Answer 1

Объяснение:

Вот,должно быть правильно

Answer 2

Let's simplify these expressions:

1. (1 + x)(1 - x)(1 + x^2)

First, we'll expand the expression:

(1 + x)(1 - x) = 1 - x^2

Now, we have:

(1 - x^2)(1 + x^2)

Next, we'll use the difference of squares formula: a^2 - b^2 = (a + b)(a - b)

In this case, a = 1 and b = x^2:

(1 - x^2)(1 + x^2) = (1 + x)(1 - x)(1 + x^2)

So, the simplified expression is (1 + x)(1 - x)(1 + x^2).

2. 5x^2 - 3(x + 1)(x - 1)

First, we'll expand the expression within the parentheses:

-3(x + 1)(x - 1) = -3(x^2 - 1)

Now, we can subtract this expression from 5x^2:

5x^2 - 3(x^2 - 1)

Distribute the -3:

5x^2 - 3x^2 + 3

Now, combine like terms:

(5x^2 - 3x^2) + 3 = 2x^2 + 3

So, the simplified expression is 2x^2 + 3.