Question

If (x+3)(x-5)=x^2 +mx-15, the value of m is...?
Pls explain the answer, thx!

Answer 1

The value and the answer is m = -2

Answer 2

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let's solve :

first step : we have to expand the term in L.H.S

• 
  `(x + 3)(x - 5)`
• 
  `{x}^(2) - 5x + 3x - 15`
• 
  `{x}^(2) - 2x - 15`

now, let's equate the equations to find the value of m :

• 
  `{x}^(2) - 2x - 15 = {x}^(2) + mx - 15`

value of m = -2