Question 2(v)
Factorise
$(l + m)^{2} - (l - m)^{2}$

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Solution

$(l + m)^{2} - (l - m)^{2} [U s i n g i d e n t i t y a^{2} - b^{2} = (a - b) (a + b)] = (l + m - l + m) (l + m + l - m) = 2 m \times 2 l = 4 m l = 4 l m$

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