LouisaPeterson
LouisaPeterson LouisaPeterson
  • 14-02-2021
  • Mathematics
contestada

Factorize completely
80p2 - 180r2​

Respuesta :

Аноним Аноним
  • 14-02-2021

Answer:

80p2 - 180r2

20(4p²-9r²)

20(2p+3r)(2p-3r)

Answer Link
jimrgrant1 jimrgrant1
  • 14-02-2021

Answer:

20(2p - 3r)(2p + 3r)

Step-by-step explanation:

Given

80p² - 180r² ← factor out 20 from each term

= 20(4p² - 9r²) ← difference of squares which factors in general as

a² - b² = (a - b)(a + b)

4p² - 9r²

= (2p)² - (3r)² ← with a = 2p and b = 3r

= (2p - 3r)(2p + 3r)

Thus

80p² - 180r² = 20(2p - 3r)(2p + 3r) ← in factored form

Answer Link

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