Matematika

Pertanyaan

Faktorkanlah bentuk aljabar berikut

36k2 - 1
64k2 - 9
25m2 - 9( n+p )2
( p+q )2 - ( p-q )2
4( x - y )2 - ( x + y )2

1 Jawaban

  • 36k2 - 1 = (6k-1)(6k+1)

    64k2 - 9 = (8k-3)(8k+3)

    25m2 - 9( n+p )2 = (5m+(3n+3p)(5m-(3n+3p)

    ( p+q )2 - ( p-q )2 = (p+q + p - q)(p+q-p+q) = (2p)(2q) = 4pq

    4( x - y )2 - ( x + y )2= (2(x-y) - (x+y)) (2(x-y) + (x+y))

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