anyaillarionov anyaillarionov
  • 14-03-2020
  • Mathematics
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Write as a product: ax^2+ay^2–bx^2–by^2+b–a

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gmany
gmany gmany
  • 14-03-2020

Answer:

[tex]\large\boxed{ax^2+ay^2-bx^2-by^2+b-a=(a-b)(x^2+y^2-1)}[/tex]

Step-by-step explanation:

[tex]ax^2+ay^2-bx^2-by^2+b-a\\\\=(ax^2-bx^2)+(ay^2-by^2)+(b-a)\qquad\text{use the distributive property}\\\\=x^2(a-b)+y^2(a-b)-1(a-b)\\\\=(a-b)(x^2+y^2-1)[/tex]

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