To determine if the given equation is true, let's expand both sides and simplify.
Left side:(x² - 12 + 10)²= (x² - 2)²= x^4 - 4x² + 4
Right side:(3x + 10)²= (3x + 10)(3x + 10)= 9x² + 30x + 30x + 100= 9x² + 60x + 100
Now we can see that the left side is not equal to the right side based on the expanded expressions, thus, the given equation is not true for all values of x.
To determine if the given equation is true, let's expand both sides and simplify.
Left side:
(x² - 12 + 10)²
= (x² - 2)²
= x^4 - 4x² + 4
Right side:
(3x + 10)²
= (3x + 10)(3x + 10)
= 9x² + 30x + 30x + 100
= 9x² + 60x + 100
Now we can see that the left side is not equal to the right side based on the expanded expressions, thus, the given equation is not true for all values of x.