Factorization of the Expression of types a 4 + a 2 b 2 + b 4 or a 4 + 4b 4



Case 1: a 4 + a 2 b 2 + b 4 type expression

In such expression types we first try to convert one part of a given expression into  a^{2}+2(a)(b)+ b^{2} or  a^{2}-2(a)(b)+ b^{2} form and other part into a whole square — and finally the expression is converted into the form of   a^{2}- b^{2} and then factorization is done using factors form of  a^{2}- b^{2} as (a-b)(a+b)


Case 2: a 4 + 4b 4 type expression

In such type expression we convert a given expression to  a^{2}- b^{2} form by adding and subtracting last part of expression into the expression – and then get two whole square expression with subtraction sign between them.


Kindly see the questions for explanation and clarification.




Insert math as
Additional settings
Formula color
Text color
Type math using LaTeX
Nothing to preview