Find the degree of (x3 − x2)2

To find the degree of (x3 − x2)2, we need to understand what degree means in the context of polynomials.

In a polynomial, the degree is the highest power of the variable. So, to find the degree of (x3 − x2)2, we first need to expand the expression.

Expanding (x3 − x2)2, we get (x3 − x2)(x3 − x2). Using the distributive property, we can multiply each term in the first expression by each term in the second expression.

(x3 − x2)(x3 − x2) = x3(x3 − x2) − x2(x3 − x2)

Simplifying further, we get x6 − x5 − x5 + x4.

Combining like terms, we have x6 − 2x5 + x4.

Now, we can determine the degree of the polynomial. The highest power of the variable x is 6, so the degree of (x3 − x2)2 is 6.