Step 1 :Step 1: FOIL stands for First, Outer, Inner, Last. It is a method used for multiplying binomials. Here, we apply this method for \((x - 3)(2x + 5)\)
Step 2 :Step 2: First, we multiply the First terms in each binomial: \(x \times 2x = 2x^2\)
Step 3 :Step 3: Then, we multiply the Outer terms: \(x \times 5 = 5x\)
Step 4 :Step 4: Next, we multiply the Inner terms: \(-3 \times 2x = -6x\)
Step 5 :Step 5: Finally, we multiply the Last terms: \(-3 \times 5 = -15\)
Step 6 :Step 6: Now, add all of these results together: \(2x^2 + 5x - 6x - 15\)
Step 7 :Step 7: Simplify the expression by combining like terms: \(2x^2 - x - 15\)