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(x2+4x+8)+ (2x2 +5x+9)

Sagot :

absor201

Answer:

[tex]\left(x^2+4x+8\right)+\left(2x^2+5x+9\right)=3x^2+9x+17[/tex]

Step-by-step explanation:

Given the expression

[tex]\left(x^2+4x+8\right)+\:\left(2x^2\:+5x+9\right)[/tex]

solving the expression

[tex]\left(x^2+4x+8\right)+\:\left(2x^2\:+5x+9\right)[/tex]

remove the parentheses

[tex]\left(x^2+4x+8\right)+\:\left(2x^2\:+5x+9\right)=x^2+4x+8+2x^2+5x+9[/tex]

Group like terms

                                                   [tex]=x^2+2x^2+4x+5x+8+9[/tex]

Add similar elements: x² + 2x² = 3x²

                                                  [tex]=3x^2+4x+5x+8+9[/tex]

Add similar elements: 4x + 5x = 9x

                                                  [tex]=3x^2+9x+8+9[/tex]

                                                  [tex]=3x^2+9x+17[/tex]

Therefore, we conclude that:

[tex]\left(x^2+4x+8\right)+\left(2x^2+5x+9\right)=3x^2+9x+17[/tex]

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