The sum of two terms multiplied by their difference is equal to the square of the first term minus the square of the second term. In other words: $(a+b)(a-b)=a^2-b^2$.
Solve the product of difference of squares $\left(a^2-1\right)\left(a+2\right)\left(a-2\right)$
$\left(a^2-4\right)\left(a^2-1\right)$
Final answer to the problem
$\left(a^2-4\right)\left(a^2-1\right)$
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The simplification of algebraic expressions consists in rewriting a long and complex expression in an equivalent, but much simpler expression. This simplification can be accomplished through the combined use of arithmetic and algebra rules.