Question

Factorise a^4+b^4 step by step

Answer 1

hello!!


Dear friend -


Factorise a^4 + b^4


Dear friend you know in this type questions we
check here all equations if we found any where Any formula type words then we put it


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first You try to find the greatest common multiple in all terms.


Here is some formulas use in factories


1. (x+y)² = x² + y² +2xy

2. (x-y)²= x²+y²-2xy

3. x²-y² = (x-y) (x+y)

4. (x+a) (x+b) = x²+(a+b)x+ab

5. (x+y+z)² = x²+y²+z²+2xy+2yz+2zx

6. (x+y)³ = x³+y³+3xy(x+y)

7. (x-y)³ = x³-y³-3xy(x-y)



Now,


according to your question


we need here first to put in this term (x+y)²


=> (a²+b²)²


=> we know that formula = x²+y²+2xy


so,


=> (a²)²+(b²)²+2a²b²



I hope you have understood about factorization


Thanks:-)

Answer 2

solution.

= {(a^2)^2+ (b^2)^2}

= {(a^2)^2+ (b^2)^2+ 2a^2b^2}

[identity used → (a+ b)^2= a^2+ b^2+ 2ab