The correct option is D 48pq(4p + 3q)^2 (4p 3q)^2 = [(4p)^2 + (3q)^2 + 2(4p)(3q)] [(4p)^2 + (3q)^2 2(4p)(3q)] =24 pq + 24 pq = 48pq ...

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Algebraic Identities

4 p+3 q2-4 p-...

Question

${(4 p + 3 q)}^{2} - {(4 p - 3 q)}^{2} =$ ____________.

24pq

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48pq

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12p

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12q

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Solution

The correct option is B 48pq
${(4 p + 3 q)}^{2} - {(4 p - 3 q)}^{2}$
$= [{(4 p)}^{2} + {(3 q)}^{2} + 2 (4 p) (3 q)] - [{(4 p)}^{2} + {(3 q)}^{2} - 2 (4 p) (3 q)]$
$= 24 p q + 24 p q = 48 p q$

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Similar questions

(4 p - 3 q)^{2}

Show that:

$(4 p q + 3 q)^{2} - (4 p q - 3 q)^{2} = 48 p q^{2}$

{(4 p q + 3 q)}^{2} - {(4 p q - 3 q)}^{2} =

\frac{12 p q}{(2 p + 3 q)^{2} - (2 p - 3 q)^{2}}

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