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kodGreya [7K]
3 years ago
10

Write as a product: ax^2+ay^2–bx^2–by^2+b–a

Mathematics
1 answer:
Vesna [10]3 years ago
4 0

Answer:

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

Step-by-step explanation:

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)

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