Exercise
$\left(y^2^k-7\right)\left(y^2^k+6\right)$
Step-by-step Solution
Learn how to solve special products problems step by step online. Solve the product (y^2^k-7)(y^2^k+6). Simplify \left(y^2\right)^k 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 k. Simplify \left(y^2\right)^k 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 k. Multiply the single term y^{2k}+6 by each term of the polynomial \left(y^{2k}-7\right). Multiply the single term y^{2k} by each term of the polynomial \left(y^{2k}+6\right).
Solve the product (y^2^k-7)(y^2^k+6)
Final answer to the exercise
$y^{4k}-y^{2k}-42$