Question

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

Answer 1

Answer:

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Answer 2

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