Factor (5k+3)^2-8(5k+3)+16

Let u=5k+3. Substitute u for all occurrences of 5k+3.
Factor using the perfect square rule.
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Rewrite 16 as 42.
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
Rewrite the polynomial.
Factor using the perfect square trinomial rule a2-2ab+b2=(a-b)2, where a=u and b=4.
Replace all occurrences of u with 5k+3.
Subtract 4 from 3.
Factor (5k+3)^2-8(5k+3)+16

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