Exercise
$\left(x^{\frac{9}{2}}+y^{\frac{9}{2}}\right)\left(x^{\frac{9}{2}}-y^{\frac{9}{2}}\right)$
Step-by-step Solution
Learn how to solve special products problems step by step online. Simplify the product of conjugate binomials (x^(9/2)+y^(9/2))(x^(9/2)-y^(9/2)). 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.. Simplify \left(\sqrt{x^{9}}\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{9}{2} and n equals 2. Multiply the fraction and term in 2\left(\frac{9}{2}\right). Multiply 2 times 9.
Simplify the product of conjugate binomials (x^(9/2)+y^(9/2))(x^(9/2)-y^(9/2))
Final answer to the exercise
$x^{9}-y^{9}$