jennaloves2019
jennaloves2019 jennaloves2019
  • 13-03-2019
  • Mathematics
contestada

Help me with this math question and show your work.

Help me with this math question and show your work class=

Respuesta :

MrsStrong
MrsStrong MrsStrong
  • 15-03-2019

Answer:

[tex]5x^2 + x - 14[/tex]

Step-by-step explanation:

The area of the grass left will be the area of the total of the background subtract the area of the patio.

The area of the backyard is [tex](3x+5)(2x-1) = 6x^2 + 10x - 3x - 5 = 6x^2 +7x - 5[/tex]

The area of the patio is [tex](x+3)(x+3) = x^2 + 6x + 9[/tex]

Subtract the two areas to have the area of the leftover grass.

[tex]6x^2 + 7x - 5 - (x^2 + 6x + 9) = 5x^2 + x - 14[/tex]

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