Exercise
\left( 6m^2 n^3 - 7m\right)\left(6m^2 n^3 + 7m\right)
Step-by-step Solution
Learn how to solve special products problems step by step online. \left( 6m^2 n^3 - 7m\right)\left(6m^2 n^3 + 7m\right). Math interpretation of the question. Simplify \left(m^{2n}\right)^3 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2n and n equals 3. Simplify \left(m^{2n}\right)^3 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2n and n equals 3. 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( 6m^2 n^3 - 7m\right)\left(6m^2 n^3 + 7m\right)
Final answer to the exercise
$36m^{12n}-49m^2$