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For all a and b, what is the sum of (a-b)² and (a+b)²​
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For all a and b, what is the sum of (a-b)² and (a+b)²​

User Aminalid
by
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2 Answers

12 votes

Explanation:

Expand both classic quadratics and combine like terms to find the sum:

(a−b)2+(a+b)2

User Jysummers
by
4.6k points
5 votes

Answer:

2a² + 2b²

Explanation:

(a - b)² + (a + b)² ← expand both factors using FOIL

= a² - 2ab + b² + a² + 2ab + b² ← collect like terms

= 2a² + 2b²

User TobyU
by
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