Respuesta :

mhanifa

Answer:

  • 18x²y - 8a + 14b

Step-by-step explanation:

The Sum:

  • 3x²y - 5a + 4b +  (-9x²y - 7b + 4a) =
  • 3x²y - 9x²y - 5a + 4a + 4b - 7b =
  • -6x²y - a - 3b

The difference:

  • 3x²y - 5a + 4b - (-9x²y - 7b + 4a) =
  • 3x²y + 9x²y - 5a - 4a + 4b + 7b =
  • 12x²y - 9a + 11b

Subtract the sum from the difference:

  • 12x²y - 9a + 11b - (-6x²y - a - 3b) =
  • 12x²y + 6x²y - 9a + a + 11b + 3b =
  • 18x²y - 8a + 14b
Sᴘᴀᴄᴇ7

Answer:

See below.

Step-by-step explanation:

First Let's us find the sum.

[tex]\sf\longmapsto \: 3x²y - 5a + 4b + (-9x²y - 7b + 4a)[/tex]

[tex]\sf\longmapsto3x²y - 9x²y - 5a + 4a + 4b - 7b [/tex]

[tex]\sf\longmapsto \: -6x²y - a - 3b[/tex]

Now, let's us find the difference (minus)

[tex]\sf\longmapsto \: 3x²y - 5a + 4b - (-9x²y - 7b + 4a)[/tex]

[tex]\sf\longmapsto3x²y + 9x²y - 5a - 4a + 4b + 7b[/tex]

[tex]\sf\longmapsto \: 12x²y - 9a + 11b[/tex]

Now minus the sum from the difference.

[tex]\sf\longmapsto \: 12x²y - 9a + 11b - (-6x²y - a - 3b)[/tex]

[tex]\sf\longmapsto \: 12x²y + 6x²y - 9a + a +11b + 3b[/tex]

[tex]\sf\longmapsto \: 18x²y - 8a + 14b[/tex]

Therefore,[tex]\sf\longmapsto \: 18x²y - 8a + 14b[/tex] is the answer.