Question

factorize the difference of two squares: (9+x)^2-(4-x)^2. show your workings​

Answer 1

${(9 + x)}^{2} - {(4 - x)}^{2} \\ = [(9 + x) + (4 - x)] \times [(9 + x) - (4 - x)] \: \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: | \: \: because \: {x}^{2} - {y}^{2} = (x + y)(x - y) \\ = (9 + x + 4 - x)(9 + x - 4 + x) \\ = (13)(5 + 2x) \\ = 65 + 26x$

Answer 2

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