Factorization of Algebraic expressions by the Difference of squares Questions with Solutions

Firstly, let’s learn the difference of squares method to know how to factorize the algebraic expressions as a product of two or more factors, then you are ready to practice the difference of two perfect squares worksheet for factorizing algebraic expressions, but you should know the difference of squares formula.

The following problems are examples on factorization of expressions in algebraic form by the difference of perfect squares method with solutions to learn how to factorize the algebraic expressions by using the difference of two squares method.

Factorize $x^4+64$

Factorize $x^4+x^2+1$

Factorize $x^2-16$

Factorize $64x^2-121y^2$

Factorize $16a^4-81b^4$

Factorize $441-81y^2$

Factorize $(x+y)^2-1$

Factorize $8xy^2-18x^3$

Factorize $a(a-1)-b(b-1)$

Factorize $m^2-\dfrac{1}{9}n^2$

Factorize $x^6-196$

Factorize $x^2+y^2-z^2-2xy$