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Factor.\newlinen210n+25n^2 - 10n + 25

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Q. Factor.\newlinen210n+25n^2 - 10n + 25
  1. Recognize perfect square: Recognize the trinomial as a perfect square: a22ab+b2=(ab)2a^2 - 2ab + b^2 = (a - b)^2.
  2. Identify aa and bb: Identify aa and bb from the trinomial: a=na = n, b=5b = 5 because 5×5=255 \times 5 = 25 and 2×5×n=10n2 \times 5 \times n = 10n.
  3. Write factored form: Write the factored form using the perfect square formula: (n5)2(n - 5)^2.