Math, asked by anshu998, 1 year ago

f. x^2 +9y^2 - 6xy - 25a^2
factorize the following​

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Answered by rishu6845
14

Answer:

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Answered by BrainlyHulk
10

 {x}^{2}  +   {9y}^{2}  - 6xy - 25a {}^{2}  \\  =( {x}^{2}  +   {9y}^{2}  - 6xy) - 25a {}^{2} \\  =  ({x}^{2}  - 6xy +  {9y}^{2} ) - 25 {a}^{2}  \\  =  ({x}^{2}  - 3xy - 3xy +  {9y}^{2} ) - 25 {a}^{2}  \\  = (x(x - 3y) - 3y(x - 3y)) - 25 {a}^{2}  \\  = (x - 3y)(x - 3y) - 25 {a}^{2}  \\  =  {(x - 3y)}^{2}    -   {(5a)}^{2}  \\  = (x - 3y + 5a)(x - 3y - 5a)

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