Question

to verify the algebric identity a ^2 -b^2=(a+b)(a-b)

Answer 1

${a}^{2} - {b}^{2} = (a + b)(a - b) \\ \\ (a + b)(a - b) = {a}^{2} - ab + ab - {b}^{2} \\ = {a}^{2} { \cancel{ - ab + ab}} - {b}^{2} \\ = {a}^{2} - {b}^{2}$

HENCE PROVED !

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