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(a-b)^2 Expansion and Visualisation

Use suitable ...

Question

Use suitable identity to solve $(2 a - 7) (2 a - 7)$

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Solution

$(2 a - 7) (2 a - 7) = (2 a - 7)^{2}$
using identity $(a - b)^{2} = a^{2} - 2 a b + b^{2}$
$(2 a - 7)^{2} = (2 a)^{2} - 2 \times 2 a \times 7 + 7^{2}$
$(2 a - 7)^{2} = 4 a^{2} - 28 a + 49$

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