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Factor.\newlineh2+10h+16h^2 + 10h + 16

Full solution

Q. Factor.\newlineh2+10h+16h^2 + 10h + 16
  1. Identify bb and cc: Identify bb and cc in the quadratic expression h2+10h+16h^2 + 10h + 16, where b=10b = 10 and c=16c = 16.
  2. Find two numbers: Find two numbers that multiply to 1616 (c)(c) and add up to 1010 (b)(b). Let's try 44 and 44, but wait, 4+44 + 4 is 88, not 1010. So, it's not correct. Let's try 22 and 88, yeah, (c)(c)11 and (c)(c)22. That's right!
  3. Write factored form: Write the factored form using the numbers 22 and 88. The factored form is (h+2)(h+8)(h + 2)(h + 8).