Question

Evaluate (3pq-4rs) ^2 by using identity

Answer 1

Question :-

Evaluate (3pq-4rs) ^2 by using identity.

Solution :-

Given :

$\sf{(3pq - 4rs) {}^{2} }$

Using formula :

$\sf{(a - b) {}^{2} = a {}^{2} - 2ab + b {}^{2} }$

Evaluation :

$\sf:\longmapsto{(3pq) {}^{2} - 2(3pq)(4rs) + (4rs) {}^{2} } \\ \\\bf:\longmapsto \red{9pq {}^{2} - 24pqrs + 16rs {}^{2} } \: \: \: \: \: \: \:$

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Answer 2

$\huge\sf\underline\red{Question}$

• Evaluate (3pq-4rs) ^2 by using identity

$\huge\sf\underline\green{formula\:used}$

➢$\small\fbox\pink{(a-b)²=a²+b² - 2(ab)}$

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$\huge\sf\underline\orange{Solution:-}$

$(3pq - 4rs) {}^{2} \\ \\ here \\ \\ 3pq = a \\ \\ 4rs = b$

$(3pq) {}^{2} + (4rs) {}^{2} - 2(3pq \times 4rs) \\ \\ = 9p {}^{2} q {}^{2} + 16r {}^{2} s {}^{2} - 2(12pqrs) \\ \\ = 9p {}^{2} q {}^{2} + 16r {}^{2} s {}^{2} - 24pqrs$

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$\small\fbox\blue{˙❥hope \: its \: helpful \: ..}$