Tentukan nilai r pada persamaan bentuk aljabaf (2×+3y)(px+qy)=rx2+23xy+12y2
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Tentukan nilai r pada persamaan bentuk aljabaf
(2×+3y)(px+qy)=rx2+23xy+12y2
(2×+3y)(px+qy)=rx2+23xy+12y2
2 Jawaban
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1. Jawaban jlee55261
(2x+3y)(px+qy)=rx^2 + 23xy + 12 y^2
=2px^2 +2qxy+3pxy+3qy^2
3q = 12
q = 4
2px^2+2(4)xy+3pxy+3(4)y^2
2px^2+8xy+3pxy+12y^2 = rx^2+23xy+12y^2
8xy+3pxy = 23xy
3pxy = 23xy-8xy
3pxy = 15xy
p = 5
2px^2+8xy+3pxy+12y^2 = rx^2+23xy+12y^2
2(5)x^2+8xy+3(5)xy+12y^2
10x^2+23xy+12y^2 = rx^2+23xy+12y^2
r = 10 -