Exercise
$\left(5y^2+14\right)\left(5y^2-14\right)$
Step-by-step Solution
Learn how to solve special products problems step by step online. Simplify the product of conjugate binomials (5y^2+14)(5y^2-14). 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.. The power of a product is equal to the product of it's factors raised to the same power. Calculate the power 5^2. Simplify \left(y^2\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals 2.
Simplify the product of conjugate binomials (5y^2+14)(5y^2-14)
Final answer to the exercise
$25y^{4}-196$