25 the like terms in the following 9X by, 2x, 5 y square 9 – 9 x square – 6 square, 7 x y square + 18 y square

25 the like terms in the following 9X by, 2x, 5 y square 9 – 9 x square – 6 square, 7 x y square + 18 y square

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1 thought on “25 the like terms in the following 9X by, 2x, 5 y square 9 – 9 x square – 6 square, 7 x y square + 18 y square”

  1. Answer:

    Step-by-step explanation:

    Given : 9x² + 16y² + 25z² + 24xy – 40yz – 30zx

    To Find : Factorize

    Solution:

    9x² + 16y² + 25z² + 24xy – 40yz – 30zx

    = (3x)² + (4y)² + (5z)² + 2(3x)(4y) – 2(4y)(5z) – 2(3x)(5z)

    = (3x)² + (4y)² + (-5z)² + 2(3x)(4y) + 2(4y)(-5z) + 2(3x)(-5z)

    = (3x)² + (4y)² + (-5z)² + 2(3x)(4y) + 2(4y)(-5z) + 2(3x)(-5z)

    (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ac

    a = 3x

    b = 4y

    c = – 5z

    = ( 3x + 4y – 5z)²

    9x² + 16y² + 25z² + 24xy – 40yz – 30zx = ( 3x + 4y – 5z)²

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