(3*x*^{2} + 5*x* - 3) + (*x*^{2} - 5*x* + 1)
= 3*x*^{2} + 5*x* - 3 + *x*^{2} - 5*x* + 1 (remove parentheses, identify the like terms)
= 3*x*^{2 }+ *x*^{2} + 5*x *- 5*x* - 3 + 1 (group the like terms together)
= (3 + 1)*x*^{2 }+ (5 - 5)*x* - 3 + 1 (use the reverse distributive property - factor)
= 4*x*^{2 }+ 0*x * - 2 (add, being careful of the signs)
= 4*x*^{2 } - 2 ANSWER ( it is not necessary to write the middle term "+ 0*x" *) |