Final answer:
The expression 4(x+y)2 can be described as 4 times the square of the binomial (x+y), which after expansion and distribution is 4(x² + 2xy + y²).
Step-by-step explanation:
Another way to describe the expression 4(x+y)2 is to say it is the polynomial resulting from distributing 4 times the square of the binomial (x+y). We first apply the exponent to the binomial, which gives us (x+y)² or (x+y)*(x+y), then we multiply each term of the resultant expression by 4. The complete expanded form of this expression would be 4(x² + 2xy + y²). Remember that raising a binomial to a power involves using the binomial theorem or FOIL method (First, Outer, Inner, Last) to expand the terms before multiplying by the factor outside the parentheses.