math101654 math101654
  • 24-06-2019
  • Mathematics
contestada

what is the factor xsquared plus 4x plus 4​

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jimrgrant1 jimrgrant1
  • 24-06-2019

Answer:

(x + 2)²

Step-by-step explanation:

x² + 4x + 4 ← is a perfect square of the form

(x + a)² = x² + 2ax + a²

Comparing coefficients of like terms

4 = 2² ⇒ a = 2 and 2ax = (2 × 2)x = 4x

Hence

x² + 4x + 4 = (x + 2)²

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