tiffanyliu1 tiffanyliu1
  • 03-11-2019
  • Mathematics
contestada

Write the square of the binomial as a polynomial:
(−1 1/3 p+6q)^2

Respuesta :

znk
znk znk
  • 04-11-2019

Answer:

¹⁶/₉p² - 16pq + 36q²  

Step-by-step explanation:

(-1⅓p + 6q)² = (-⁴/₃p + 6q) (-⁴/₃p + 6q)

We can use the FOIL method of multiplying two binomials

First terms:  (-⁴/₃p)(-⁴/₃p) =   ¹⁶/₉p²

Outer terms: (-⁴/₃p) × 6q =              -8pq

Inner terms:  6q × (-⁴/₃p) =              -8pq

Last terms:         6q × 6q =                      + 36q²

                               Sum = ¹⁶/₉p² - 16pq + 36q²

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