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