Find the product: $(2x + 3)(x - 5)$.

Find the product: $(2x + 3)(x - 5)$.
  1. $2x^{2} - 7x - 15$
  2. $2x^{2} + 7x - 15$
  3. $2x^{2} - 13x - 15$
  4. $2x^{2} - 7x + 15$

Solution

$(2x)(x) + (2x)(-5) + (3)(x) + (3)(-5) = 2x^{2} - 10x + 3x - 15 = 2x^{2} - 7x - 15$.

Asked in: IMO

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