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:
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The given expression is 16k^2 + 88k + 121.
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We can write this expression in the form of a^2 + 2ab + b^2, which is the formula for (a + b)^2.
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Here, a^2 is 16k^2, 2ab is 88k, and b^2 is 121.
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So, a is 4k (since (4k)^2 = 16k^2) and b is 11 (since 11^2 = 121).
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Therefore, the expression 16k^2 + 88k + 121 can be factorised as (4k + 11)^2.
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