## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$t^8+6t^4+9$
Using $(a+b)^2=a^2+2ab+b^2$ or the square of a binomial, the given expression, $\left( t^4+3 \right)^2$, is equivalent to \begin{array}{l}\require{cancel} (t^4)^2+2(t^4)\left( 3 \right)+\left( 3 \right)^2 \\\\= t^8+6t^4+9 .\end{array}