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(x-3)^2+x(x+9) simplify the expression

Sagot :

Step-by-step explanation:

Simplify.

Include the exponent:

[tex] (x-3)(x-3)+ x(x + 9)={x}^{2} - 6x + 9 + x(x+9)[/tex]

Use the Distributive Property:

[tex] {x}^{2} - 6x + 9 + {x}^{2} + 9x[/tex]

Add and format the trinomial:

[tex]2{x}^{2} + 3x + 9[/tex]

Answer:

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

Step-by-step explanation:

[tex](x-3)^2+x(x+9)[/tex]

[tex](x-3)^2[/tex] = [tex](x-3)(x-3)[/tex]

[tex](x-3)(x-3)[/tex]

[tex]x^2-3x-3x+9[/tex]

[tex]x^2-6x+9[/tex]

[tex]x(x+9)[/tex]

[tex]x^2+9x[/tex]

[tex]x^2-6x+9+x^2+9x[/tex]

[tex](x^2+x^2)+(-6x+9x)+9[/tex]

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

Hope this helps!