Factors for $a^{2} b^{2} + c^{2} d^{2} - a^{2} c^{2} - b^{2} d^{2}$ are:

(a + d) (a - d) (b + c) (b - c)

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(a^{2} - b^{2})

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(a^{2} - b^{2}) (b^{2} - c^{2})

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(a^{2} - b^{2}) (b^{2} + c^{2})

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Solution

The correct option is A $(a + d) (a - d) (b + c) (b - c)$
$a^{2} b^{2} + c^{2} d^{2} - a^{2} c^{2} - b^{2} d^{2}$
$= a^{2} b^{2} - a^{2} c^{2} - b^{2} d^{2} + c^{2} d^{2}$
$= a^{2} (b^{2} - c^{2}) - d^{2} (b^{2} - c^{2})$
$= (a^{2} - d^{2}) (b^{2} - c^{2})$
$= (a + d) (a - d) (b + c) (b - c)$

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Similar questions

Factors for $a^{2} b^{2} + c^{2} d^{2} - a^{2} c^{2} - b^{2} d^{2}$ are:

a^{2} b^{2} + c^{2} d^{2} - a^{2} c^{2} - b^{2} d^{2}

a^{2} b^{2} + 8 a b - 9

a^{3} b - a^{2} b^{2} - b^{3}

a^{2} b^{2} + 8 a b - 9

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