avalry0320
avalry0320 avalry0320
  • 19-02-2022
  • Mathematics
contestada

What is the expression obtained when the sum of 2a−16abc−45 and 2a+7abc+11 is subtracted from 6a+6abc−30?​

Respuesta :

semsee45
semsee45 semsee45
  • 19-02-2022

Answer:

[tex]2a+15abc+4[/tex]

Step-by-step explanation:

[tex](2a-16abc-45)+(2a+7abc+11)[/tex]

[tex]\implies 2a-16abc-45+2a+7abc+11[/tex]

collect and combine like terms:

[tex]\implies 4a-9abc-34[/tex]

[tex](6a+6abc-30)-(4a-9abc-34)[/tex]

Apply the distributive law [tex]-\left(a-b\right)=-a+b[/tex]:

[tex]\implies 6a+6abc-30-4a+9abc+34[/tex]

collect and combine like terms:

[tex]\implies 2a+15abc+4[/tex]

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