Exercise
$28\left(\frac{1}{4}z^8-\frac{1}{14}\right)\left(\frac{1}{4}z^8+\frac{1}{14}\right)$
Step-by-step Solution
Learn how to solve addition of numbers problems step by step online. Simplify the product of conjugate binomials 28(1/4z^8-1/14)(1/4z^8+1/14). 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.. Multiply the fraction and term in - \frac{1}{196}. The power of a product is equal to the product of it's factors raised to the same power. Calculate the power \left(\frac{1}{4}\right)^2.
Simplify the product of conjugate binomials 28(1/4z^8-1/14)(1/4z^8+1/14)
Final answer to the exercise
$28\left(\frac{1}{16}z^{16}-\frac{1}{196}\right)$