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olganol [36]
2 years ago
12

Given a≠±b and a^2−b^2 / a+b =12, find a−b. pls hlep

Mathematics
1 answer:
Readme [11.4K]2 years ago
7 0

Answer:

a - b = 12

Step-by-step explanation:

Given

\frac{a^2-b^2}{a+b} = 12 ← factor the numerator

a² - b² ← is a difference of squares and factors as

a² - b² = (a - b)(a + b)

Thus

\frac{(a-b)(a+b)}{a+b} = 12

Cancel the common factor (a + b) on numerator/ denominator, thus

a - b = 12

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