What is the Formula for a^4+b^4?

Answer: The formula for a⁴+b⁴ is (a² + b²)² −2a²b².

This formula is a part of algebraic identities and is often used in mathematical calculations and problem-solving. To derive this formula, we start with the basic identity (a² + b²)², which expands to a⁴+2a²b²+b⁴. To get a⁴+b⁴, we need to subtract 2a²b² from this expansion. Thus, the formula becomes(a² + b²)² −2a²b².

This formula is particularly useful in simplifying expressions and solving equations where the fourth power of variables is involved. It’s a key concept in algebra and is closely related to other algebraic formulas such as “a minus b whole power 4 formula”, “a 4 b 4 c 4 formula”, and “formula of a 4 b 4”. These keywords are frequently searched by students and educators alike, indicating the importance of understanding and applying these algebraic identities in various mathematical contexts.

In summary, the formulaa⁴+b⁴ = (a² + b²)² −2a²b² is a fundamental algebraic identity that plays a crucial role in simplifying and solving complex mathematical problems involving fourth powers.