aamnaowais01
Answered

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factorize: 9x^2 - 24xy + 16y^2

Sagot :

Wallind123

9x²-24xy+16y²

(3x)²-2.(3x)(4y) +(4y)²

(3x-4y)²

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

sreedevi102

Answer:

[tex](3x -4y)^2[/tex]

Step-by-step explanation:

[tex]9x^2 - 24xy + 16y^2 = (3x)^2 - 24xy + (4y)^2[/tex]

                           [tex]=(3x)^2 -2(3x \times 4y) + (4y)^2\\[/tex]

a = 3x , b = 4y . The expression [tex]a^2 - 2ab + b^2 = (a-b)(a-b) =(a-b)^2[/tex]

                           [tex]=(3x -4y)(3x - 4y)[/tex]

[tex]9x^2 - 24xy + 16y^2 = (3x -4y)^2[/tex]

                           

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