antonyjoshua18
antonyjoshua18 antonyjoshua18
  • 24-03-2019
  • Mathematics
contestada

Write the polynomial as a product: p2q+r2–pqr–pr

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Kamikazeminem
Kamikazeminem Kamikazeminem
  • 24-03-2019

[tex] {p}^{2} q + {r}^{2} - pqr - pr \\ = pq(p - r) - r(p - r) \\ = (pq - r)(p - r)[/tex]

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znk
znk znk
  • 24-03-2019

Answer:

(p - r)(pq - r)

Step-by-step explanation:

P = p²q + r² – pqr – pr  

Rewrite the equation in descending orders of p and increasing orders of r.

P = p²q - pqr - pr + r²

Factor the first two and the last two terms

P = pq(p - r) - r(p - r)

Remove the common factor

P = (p - r)(pq - r)

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