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avatarPhilosophicalGarnet9810
Secondary III • 6mo.

How to factor (x+4)squared + (2x-3)(x+4)

Mathematics
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  • Explanation from Alloprof

    Explanation from Alloprof

    This Explanation was submitted by a member of the Alloprof team.

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      avatarKatia Kteacher check
      Team Alloprof • 6mo.

      Hi!


      You have the expression:

      $$(x+4)² + (2x-3)(x+4)$$


      You can rewrite it like this:

      $$(x+4)(x+4) + (2x-3)(x+4)$$


      Now you can factor (x+4):

      $$(x+4)[(x+4) + (2x-3)]$$


      Then simplify the big parenthesis:

      $$(x+4)(x+4 + 2x-3)$$

      $$(x+4)(3x+1)$$


      There you go! :D

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