Expand using identities: $(0.4 p - 0.5 q)^{2}$

0.16 p^{2} - 0.4 p q + 0.25 q^{2}

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0.16 p^{2} - 4 p q + 0.25 q^{2}

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0.16 p^{2} - 0.4 p q + 0.5 q^{2}

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1.6 p^{2} - 0.4 p q + 0.25 q^{2}

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Solution

The correct option is A $0.16 p^{2} - 0.4 p q + 0.25 q^{2}$
$(0.4 p - 0.5 q)^{2}$
Using, $(a - b)^{2} = a^{2} - 2 a b + b^{2}$
$= (0.4 p)^{2} - 2 (0.4 p) (0.5 q) + (0.5 q)^{2}$
$= 0.16 p^{2} - 0.4 p q + 0.25 q^{2}$

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(0.4 p - 0.5 q)^{2}

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Expand the following, using suitable identities.

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