Question

4c^4 +4c^2 -16 и 4c^4 -4c^2 +16=?

Answer 1

1.)просто выносим 4 за скобку, получаем 4(с^4+c^2-4)

2.)также выносим 4 за скобку, получаем 4(c^4-c^2+4)

Answer 2

Let's simplify both expressions:

1. 4c^4 + 4c^2 - 16

This expression can be factored as follows:

4c^4 + 4c^2 - 16 = 4(c^4 + c^2 - 4)

Now, let's factor the quadratic expression inside the parentheses:

c^4 + c^2 - 4 = (c^2 + 2)(c^2 - 2)

So, the simplified expression becomes:

4(c^2 + 2)(c^2 - 2)

2. 4c^4 - 4c^2 + 16

This expression can also be factored:

4c^4 - 4c^2 + 16 = 4(c^4 - c^2 + 4)

Now, let's factor the quadratic expression inside the parentheses:

c^4 - c^2 + 4 = (c^2 - 2)(c^2 + 2)

So, the simplified expression becomes:

4(c^2 - 2)(c^2 + 2)

In summary, the simplified expressions are:

1. 4c^4 + 4c^2 - 16 = 4(c^2 + 2)(c^2 - 2)
2. 4c^4 - 4c^2 + 16 = 4(c^2 - 2)(c^2 + 2)