Answer: The required term to be added is [tex]4x-12.[/tex]
Step-by-step explanation: We are given the following product :
[tex]P=(x-3)(x+4).[/tex]
We are to find the expression that must be added to (x² - 3x) to get the final answer.
To find the product, we need to multiply each term of the first expression (x - 3) to each factor of the second expression (x + 4).
We have
[tex]P\\\\=(x-3)(x+4)\\\\=x(x-3)+4(x-3)\\\\=x^2-3x+4x-12\\\\=x^2-3x+Q,[/tex]
where
[tex]Q=4x-12.[/tex]
Therefore, to get the final answer, we need to add the following expression :
[tex]Q=4x-12.[/tex]
Thus, the required term to be added is [tex]4x-12.[/tex]
