Question 1(viii)
Use a suitable identity to get each of the following products:
$(- a + c) (- a + c)$

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Solution

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

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