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Use a Suitable Identity to Get the Following Products. (A2 + B2) (− A2 + B2)

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Question

Use a suitable identity to get the following products.

(a2 + b2) (− a2 + b2)

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Solution

(a2 + b2) (− a2 + b2) = (b2 + a2) (b2 − a2)

= (b2)2 − (a2)2 [(a + b) (a − b) = a2 − b2]

= b4 − a4

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