Question

(2x2+1)2=14(2x2+1)-45​

Answer 1

5•2=14•5-45
10=70-45
10=25
ложь

Answer 2

Let's simplify both sides of the equation step by step to see if they are equal:

Left side: (2x^2 + 1)^2

This means we need to square the expression (2x^2 + 1):

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

Using the FOIL (First, Outer, Inner, Last) method for multiplying binomials, we get:

(2x^2 + 1) * (2x^2 + 1) = 4x^4 + 2x^2 + 2x^2 + 1 = 4x^4 + 4x^2 + 1

Right side: 14(2x^2 + 1) - 45

Now, we'll simplify the right side:

14(2x^2 + 1) - 45 = 28x^2 + 14 - 45 = 28x^2 - 31

So, the left side is (4x^4 + 4x^2 + 1) and the right side is (28x^2 - 31).

These two expressions are not equal. The equation (2x^2 + 1)^2 = 14(2x^2 + 1) - 45 is not true for all values of x.