Question 85 (x)

Expand the following, using suitable identities.

$(2 x - 5 y) (2 x - 5 y)$

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Solution

We have,
$(2 x - 5 y) (2 x - 5 y) = (2 x - 5 y)^{2} = (4 x)^{2} + (5 y)^{2} - 2 \times 2 x \times 5 y$
[using the identity, $(a - b)^{2} = a^{2} + b^{2} - 2 a b$ ] $= 16 x^{2} + 25 y^{2} - 20 x y$

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