x(x+2)-(x-1)(x-3)
Multiply x by each term inside the parentheses.
(x^(2)+2x)-(x-1)(x-3)
Multiply each term in the first group by each term in the second group using the FOIL method. FOIL stands for First Outer Inner Last, and is a method of multiplying two binomials. First, multiply the first two terms in each binomial group. Next, multiply the outer terms in each group, followed by the inner terms. Finally, multiply the last two terms in each group.
(x^(2)+2x)-(x*x+x*-3-1*x-1*-3)
Simplify the FOIL expression by multiplying and combining all like terms.
(x^(2)+2x)-(x^(2)-4x+3)
Multiply -1 by each term inside the parentheses.
(x^(2)+2x)+(-x^(2)+4x-3)
Remove the parentheses that are not needed from the expression.
x^(2)+2x-x^(2)+4x-3
Since x^(2) and -x^(2) are like terms, add -x^(2) to x^(2) to get 0.
0+2x+4x-3
Since 2x and 4x are like terms, add 4x to 2x to get 6x.
6x-3