To check if these two expressions are equal, we can expand both sides and see if they match.
First, we will expand the left side of the equation:
(3x + 5)(x + 7)= 3x(x + 7) + 5(x + 7)= 3x^2 + 21x + 5x + 35= 3x^2 + 26x + 35
Next, we will expand the right side of the equation:
(3x + 5)(2x - 1)= 3x(2x - 1) + 5(2x - 1)= 6x^2 - 3x + 10x - 5= 6x^2 + 7x - 5
Therefore, the expressions do not match, and the equation is not true.
To check if these two expressions are equal, we can expand both sides and see if they match.
First, we will expand the left side of the equation:
(3x + 5)(x + 7)
= 3x(x + 7) + 5(x + 7)
= 3x^2 + 21x + 5x + 35
= 3x^2 + 26x + 35
Next, we will expand the right side of the equation:
(3x + 5)(2x - 1)
= 3x(2x - 1) + 5(2x - 1)
= 6x^2 - 3x + 10x - 5
= 6x^2 + 7x - 5
Therefore, the expressions do not match, and the equation is not true.