vickychan2003 vickychan2003
  • 15-07-2021
  • Mathematics
contestada

If a + b = s and a - b = t, then which of the following expresses the value of ab in terms of s and t?

Please help me out

If a b s and a b t then which of the following expresses the value of ab in terms of s and t Please help me out class=

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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 15-07-2021

Answer:

   =(s^2 - t^2)/4

Step-by-step explanation:

a + b = s and a - b = t,

Add the two equations together

a + b = s

a - b = t

----------------

2a = s+t

a = (s+t)/2

Subtract the two equations

a + b = s

- a + b = -t

-------------------

2b =(s-t)

b = (s-t)/2

We want to find ab

ab = (s+t)/2 *  (s-t)/2

FOIL

    =(s^2 - t^2)/4

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