Let's expand and simplify both sides of the equation to verify if they are equal:
Left side:(4x+1)(4x-1) + (2x-3)²= 16x² - 4x + 4x - 1 + 4x² - 12x + 9= 16x² - 1 + 4x² - 8x + 9= 20x² - 8x + 8
Right side:5x(4x-1)= 20x² - 5x
Now let's compare the left and right sides of the equation:20x² - 8x + 8 = 20x² - 5x
Since the left side is not equal to the right side, the equation is not true.
Let's expand and simplify both sides of the equation to verify if they are equal:
Left side:
(4x+1)(4x-1) + (2x-3)²
= 16x² - 4x + 4x - 1 + 4x² - 12x + 9
= 16x² - 1 + 4x² - 8x + 9
= 20x² - 8x + 8
Right side:
5x(4x-1)
= 20x² - 5x
Now let's compare the left and right sides of the equation:
20x² - 8x + 8 = 20x² - 5x
Since the left side is not equal to the right side, the equation is not true.