eevapiloto eevapiloto
  • 16-02-2022
  • Mathematics
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Find an algebraic expression that represents the area of the shaded region.

Find an algebraic expression that represents the area of the shaded region class=

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qazijnwsxuhb qazijnwsxuhb
  • 16-02-2022

Answer:

[tex]2x^2+7x-16[/tex]

Step-by-step explanation:

[tex]x(3x-1)-(x-4)^2[/tex]

Use distributive: [tex]x(3x-1)=3x^2-x[/tex]

Use square of a binomial formula : [tex](a-b)^2=a^2-2ab+b^2[/tex]

[tex](x-4)^2=x^2-8x+16[/tex]

[tex]3x^2-x-(x^2-8x+16)=3x^2-x-x^2+8x-16=2x^2+7x-16[/tex]

The answer is [tex]2x^2+7x-16[/tex]

Hope this helps :)

Have a nice day!

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