1. The problem is to "develop" or expand an algebraic expression, which means to multiply out and simplify the terms. 2. The general formula for expanding a product of binomials is $$(a+b)(c+d) = ac + ad + bc + bd$$. 3. Important rules include the distributive property: $a(b+c) = ab + ac$, and combining like terms. 4. For example, if the problem is to develop $(x+3)(x-2)$, we apply the distributive property: $$x \times x = x^2$$ $$x \times (-2) = -2x$$ $$3 \times x = 3x$$ $$3 \times (-2) = -6$$ 5. Now, combine like terms: $$x^2 - 2x + 3x - 6 = x^2 + x - 6$$ 6. The expanded form is $x^2 + x - 6$. 7. This process applies to any polynomial multiplication: distribute each term and combine like terms. Final answer: $x^2 + x - 6$