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add the algebraic expressions x²+x-2 and 2x²-5x+7​

Sagot :

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

  • [tex] {x}^{2} + x - 2 + 2 {x}^{2} - 5x + 7[/tex]

  • [tex] {x}^{2} + 2 {x}^{2} + x - 5x - 2 + 7[/tex]

  • [tex]3 {x}^{2} - 4x + 5[/tex]

Answer:

[tex]3x^2-4x+5[/tex]

Step-by-step explanation:

[tex]x^2+x-2+2x^2-5x+7[/tex]

Group like terms:

[tex]x^2+2x^2+x-5x-2+7[/tex]

Add similar elements:

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

[tex]=3x^{2}[/tex]

Add similar elements:

[tex]x-5x[/tex]

[tex]=-4x[/tex]

[tex]3x^2-4x-2+7[/tex]

Add the numbers:

[tex]-2+7[/tex]

[tex]=3x^2-4x+5[/tex]

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