Question

Simplify the product: (4x-3) (3x+1)

O A. x-2
OB. 12x²-3
O C. 12x-5x-3
OD. 12x³-9x² +4x-3

Answer 1

`\large\boxed{\mathtt{C) \ 12x^(2)-5x-3}}`

Explanation:

`\textsf{For this problem, we are asked to multiply 2 Binomials.}`

`\textsf{We should use the FOIL Method.}`

`\large\underline{\textsf{FOIL Broken Down;}}`

`\textsf{F - Fronts}`

`\textsf{O - Outers}`

`\textsf{I - Inners}`

`\textsf{L - Last}`

`\large\underline{\textsf{For Example.}}`

`\mathtt{(2x+2y)(3x+3y)}`

`\mathtt{(F) \ 2x * 3x = 6x^(2)}`

`\mathtt{(O) \ 2x * 3y = 6xy}`

`\mathtt{(I) \ 2y * 3x = 6xy}`

`\mathtt{(L) \ 2y * 3y = 6y^(2)}`

`\textsf{Let's use the FOIL Method for our problem.}`

`\large\underline{\textsf{FOIL;}}`

`\mathtt{(4x-3)(3x+1)}`

`\mathtt{(F) \ 4x * 3x = 12x^(2)}`

`\mathtt{(O) \ 4x * 1 = 4x}`

`\mathtt{(I) \ -3 * 3x = -9x}`

`\mathtt{(L) \ -3 * 1 = -3}`

`\large\underline{\textsf{We should have;}}`

`\mathtt{12x^(2)+4x-9x-3}`

`\large\underline{\textsf{Combine Like Terms;}}`

`\large\boxed{\mathtt{C) \ 12x^(2)-5x-3}}`