Exercise
$\left(c-5b\right)\left(c+5b\right)\left(c^2+25b^2\right)$
Step-by-step Solution
Learn how to solve problems step by step online. Simplify the product of conjugate binomials (c-5b)(c+5b)(c^2+25b^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.. The power of a product is equal to the product of it's factors raised to the same power. Multiply -1 times 25. 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 the product of conjugate binomials (c-5b)(c+5b)(c^2+25b^2)
Final answer to the exercise
$c^{4}-625b^{4}$