Question

-. (a) Factorize:- 4x² - 12xy +9y2 - 9a? - 24ab – 16b2
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Answer 1

Answer:

${4x}^{2} - 12xy + {9y}^{2} - {9a}^{2} - 24ab - {16b}^{2} \\ using \: (x - y {)}^{2} = {x}^{2} + 2x( - y) + ( - y {)}^{2} \\ = {(2x)}^{2} + 2(2x)( - 3y) + {( - 3y)}^{2} - {(3a)}^{2} + 2(3a)( - 4b) + ( - 4b {)}^{2} \\ = {(2x - 3y)}^{2} - {(a - b)}^{2}$