Final answer:
To expand and combine like terms of the expression (4d^2-2d^7)^2, we square each term individually and then multiply the two terms together.
Step-by-step explanation:
To expand and combine like terms of the expression (4d^2-2d^7)^2, we can use the rule of squaring a binomial.
When we square a binomial, we square each term individually, and then multiply the two terms together.
In this case, squaring (4d^2-2d^7) gives us (4d^2)^2 -2(4d^2)(2d^7) +(-2d^7)^2.
Simplifying this further, we get 16d^4 -16d^9 + 4d^14.