Matematika

Pertanyaan

1.(y+4)(y kuadrat+4y+16)
2.(2x+y)(x kuadrat+xy+y kuadrat)
3.(3x-y)(x kuadrat-xy+y kuadrat)
4.(5x-y)(25x kaudrat-5xy+y kuadrat)
5.(3x+2y)(9x kuadrat-6xy+4y kuadrat)
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1 Jawaban

  • 1. (y+4)*(y^2+4y+16)
    = y^3+4y^2+16y+4y^2+16y+64
    = y^3+8y^2+32y+64
    2. (2x+y)*(x^2+xy+y^2)
    = 2x^3+2x^2y+2xy^2+xy^2+xy^2+xy^2+y^3
    =2x^3+2x^2y+2xy^2+2xy^2+y^2
    =2x^3+2x^2y+4xy^2+y^3
    = 2x^3+y^3+2x^2y+4xy^3

    3. (3x-y)*(x^2-xy+y^2)
    = 3x^3-3x^2y+3xy^2-x^2y+xy^2-y^3
    = 3x^3-4x^2y+4xy^2-y^3
    = 3x^3-y^3-4x^2y+4xy^2

    4. (5x-y)*(25x^2-5xy+y^2)
    = 125x^3-25x^2y+5xy^2-25x^2y+5xy^2-y^3
    =125x^2-y^3+50x^2y+10xy^2

    5. (3x+2y)*(9x^2-6xy+4y^2)
    =27x^3-18x^2y+12xy^2+18x^2y-12xy^2+8y^3
    = 27x^3+8y^3

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