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GaryK [48]
3 years ago
10

Ax^2+ay^2–bx^2–by^2+b-a

Mathematics
2 answers:
noname [10]3 years ago
4 0
ax^2+ay^2-bx^2-by^2+b-a
=a(x^2+y^2)-b(x^2+y^2)+b-a
=(x^2+y^2)(a - b)+b-a
=(x^2+y^2)(a - b)-(a - b)
=(a - b)(x^2+y^2 -1)
VARVARA [1.3K]3 years ago
4 0
First, let's factor out the coefficient a. 

We have 

ax^2+ay^2-bx^2-by^2+b-a

a(x^2+y^2-1)-bx^2-by^2+b

Next, let's factor out the coefficient b.

a(x^2+y^2-1)-b(x^2-y^2+1)

Using the common factor (x^2+y^2-1), we can rewrite as 

(a-b)(x^2+y^2-1)
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