Use suitable identity to solve $(- a + c) (- a + c)$

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Solution

$(- a + c) (- a + c) = (- a + c)^{2} = (c - a)^{2}$
using the identity $(a - b)^{2} = a^{2} - 2 a b - b^{2}$
$(c - a)^{2} = c^{2} - 2 \times c \times a + a^{2}$
$(- a + c) (- a + c) = c^{2} - 2 a c + a^{2}$

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