Matematika

Pertanyaan

Tolong jawab ya
Faktorkan ((p+q)²-(p-q)²

2 Jawaban

  • ( p + q)(p +q) - (p-q)(p+q)
    = p^2 + pq+pq +q^2 - (p^2 +pq-pq - q^2)
    = p^2 +2pq+q^2 - (p^2 - q^2)
    = p^2 +2pq +q^2 - p^2 - q^2
    = p^2 - p^2 + q^2 - q^2 +2pq
    = 2pq
  • = (p+q)² - (p-q) ²
    = (p+q)(p+q)- (p-q) (p-q)
    = (2p+pq+pq+2q)-(2p-pq-pq-2q)
    = (2p+2pq+2q)-(2p-2q)
    = 2p-2p+2pq+2q-2q
    = 2pq
    maaf Kali salah

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