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Simplify the following polynomial and write the answer in standard form. (x2+3x+2)+(2x2 - 4x +1​

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[tex]\huge \mathfrak{Solution : }[/tex]

Simplification :

  • [tex] ({x}^{2} + 3x + 2) + (2 {x}^{2} - 4x + 1)[/tex]

  • [tex] {x}^{2} + 2 {x}^{2} + 3x - 4x + 2 + 1[/tex]

  • [tex]3 {x}^{2} - x + 3[/tex]

Answer:

[tex]3x^2-x+3[/tex]

Step-by-step explanation:

[tex]\left(x^2+3x+2\right)+\left(2x^2-4x+1\right)[/tex]

⇒ Remove parentheses:-

[tex]x^2+3x+2+2x^2-4x+1[/tex]

⇒ Combine like terms:-

[tex]x^2+2x^2+3x-4x+2+1[/tex]

⇒ Add similar elements:-

[tex]3x^2-x+2+1[/tex]

[tex]3x^2-x+3[/tex]

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