Let's expand both sides of the equation:
Left side: (3x+5)(4x-1= 3x(4x) + 3x(-1) + 5(4x) + 5(-1= 12x^2 - 3x + 20x - = 12x^2 + 17x - 5
Right side: (6x-3)(2x+7= 6x(2x) + 6x(7) - 3(2x) - 3(7= 12x^2 + 42x - 6x - 2= 12x^2 + 36x - 21
Since the left side does not equal the right side, the initial statement is false.
Let's expand both sides of the equation:
Left side: (3x+5)(4x-1
= 3x(4x) + 3x(-1) + 5(4x) + 5(-1
= 12x^2 - 3x + 20x -
= 12x^2 + 17x - 5
Right side: (6x-3)(2x+7
= 6x(2x) + 6x(7) - 3(2x) - 3(7
= 12x^2 + 42x - 6x - 2
= 12x^2 + 36x - 21
Since the left side does not equal the right side, the initial statement is false.