Math, asked by akshithtott1, 1 year ago

factor identities 9 x square - 24 X Y + 16 y square​

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Answered by pansumantarkm
1

Step-by-step explanation:

9x² - 24 xy + 16y²

=9x² - (12 + 12)xy + 16y²

=9x² - 12xy - 12xy + 16y²

= 3x(3x - 4y) - 4y(3x - 4y)

= (3x - 4y)(3x - 4y)

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Alternative

9x² - 24xy + 16y²

=(3x)² - 2*3x*4y + (4y)²

=(3x - 4y)². [a² - 2ab + b² = (a - b)²]

=(3x - 4y)(3x - 4y). [ a² = a * a]

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