bobchass bobchass
  • 01-04-2020
  • Mathematics
contestada

From the sum of polynomials 3a2−ab−2b2 and 2a2+5ab−3b2 subtract polynomial a2−3ab−4b2.

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TaeKwonDoIsDead
TaeKwonDoIsDead TaeKwonDoIsDead
  • 09-04-2020

Answer:

[tex]4a^2+7ab-b^2[/tex]

Step-by-step explanation:

First, we will sum

[tex]3a^2-ab-2b^2[/tex]

and

[tex]2a^2+5ab-3b^2[/tex]

Then, from that sum, we will SUBTRACT  [tex]a^2-3ab-4b^2[/tex]

First, lets take the sum by combining like terms:

[tex](3a^2-ab-2b^2)+(2a^2+5ab-3b^2)=5a^2+4ab-5b^2[/tex]

Now, lets do the subtraction:

[tex](5a^2+4ab-5b^2)-(a^2-3ab-4b^2)\\=5a^2+4ab-5b^2-a^2+3ab+4b^2\\=4a^2+7ab-b^2[/tex]

This is the answer.

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