When multiplying two powers that have the same base ($x$), you can add the exponents
$x^2\left(x+4\right)\left(x-4\right)$
Intermediate steps
2
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: $(a+b)(a-b)=a^2-b^2$.
$x^2\left(x^2-16\right)$
Final answer to the problem
$x^2\left(x^2-16\right)$
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
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.