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Question

Express the following as difference of two squares:

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Solution

It is known that .

(i) (x + 2z) (2x + z)

Here, a = (x + 2z) and b = (2x + z)

(ii) 4(x + 2y) (2x + y) = 2(x + 2y) × 2(2x + y)

Here, a = 2(x + 2y) and b = 2(2x + y)

(iii) (x + 98) (x + 102)

Here, a = (x + 98) and b = (x + 102)

(iv) 505 × 495

Here, a = 505 and b = 495


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