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: $(a+b)(a-b)=a^2-b^2$.
$\left(x^2-1\right)a^2$
2
Multiplying polynomials $a^2$ and $x^2-1$
$a^2x^2-a^2$
Final answer to the problem
$a^2x^2-a^2$
Explore different ways to solve this problem
Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more
Special products is the multiplication of algebraic expressions that follow certain rules and patterns, so you can predict the result without necessarily doing the multiplication.