Find the following squares by using the identities.
$(0.4 p + 0.5 q)^{2}$

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Solution

$(0.4 p + 0.5 q)^{2}$
Using the identity, $(a + b)^{2} = a^{2} + 2 a b + b^{2}$

$(0.4 p + 0.5 q)^{2}$ $= (0.4 p)^{2} - 2 (0.4 p) (0.5 q) + (0.5 q)^{2}$
$= 0.16 p^{2} + 0.4 p q + 0.25 q^{2}$

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