Foil multiply and simplify: (3x−4)(4x+3)

1 2 x ^ 2 - 7 x - 1 2

The solution would be 12x^2 - 7x - 12.

The acronym FOIL stands for First, Outer, Inner, and Last- the order in which you should multiply pairs of numbers.

The first term in each set of parentheses are 3x and 4x; multiplied together, these equal the first term in your solution, 12x^2.

The inner terms of this problem are (-4) and 4x; multiplied together, these equal the second term in your (unsimplified) solution, -16x.

The outer terms of this problem are 3x and 3; multiplied together, these equal the third term in your (unsimplified) solution, 9x.

Finally, the last term in each set of parentheses are (-4) and 3; multiplied together, these equal the last term in your solution, -12.

This leaves you with the following expression:

12x^2 - 16x + 9x - 12,

which is unsimplified in that there are still like terms. To fix this, simply add together the two terms of the same degree (-16x and 9x), to get -7x for the center term and arrive at the final answer mentioned above.