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Factorise 16k2+88k+121 completely.

Question

Factorise 16k2+88k+121 completely.

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Solution

Sure, here are the steps to factorise the given expression:

  1. The given expression is 16k^2 + 88k + 121.

  2. We can write this expression in the form of a^2 + 2ab + b^2, which is the formula for (a + b)^2.

  3. Here, a^2 is 16k^2, 2ab is 88k, and b^2 is 121.

  4. So, a is 4k (since (4k)^2 = 16k^2) and b is 11 (since 11^2 = 121).

  5. Therefore, the expression 16k^2 + 88k + 121 can be factorised as (4k + 11)^2.

This problem has been solved

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