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Expand and simplify the following expression: (ℎ+2)(ℎ−2)(h+2)(h−2)

Question

Expand and simplify the following expression: (ℎ+2)(ℎ−2)(h+2)(h−2)

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Solution

Sure, let's expand and simplify the expression step by step.

Step 1: Expand the first two terms and the last two terms separately.

(ℎ+2)(ℎ−2) = h^2 - 4

(h+2)(h−2) = h^2 - 4

Step 2: Now multiply the results together.

(h^2 - 4)(h^2 - 4)

Step 3: Expand the above expression.

= h^4 - 4h^2 - 4h^2 + 16

Step 4: Combine like terms.

= h^4 - 8h^2 + 16

So, the simplified form of the expression (ℎ+2)(ℎ−2)(h+2)(h−2) is h^4 - 8h^2 + 16.

This problem has been solved

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