Aria wants to factor the polynomial p(x)=x6+16x3+64. First, she correctly uses the _[blank 1]_ method and rewrites the polynomial as p(x)=(x3+8)2. Next, she recognizes that the polynomial follows the _[blank 2]_ pattern as well. She correctly uses the pattern and finds that the polynomial can be written completely factored as _[blank 3]_. Match the letters that appear in the blanks of the above sentences with the phrase that correctly fills in each blank. p(x)=(x+2)2(x2+2)(x2−2)
perfect-square trinomial
sum of cubes
p(x)=(x+2)(x2−2x2+4)
grouping difference of squares
p(x)=(x+2)2(x2−2x+4)2