(x−x2)2=
To solve the expression (x−x2)2, we will use the square of a binomial formula (a−b)2=a2−2ab+b2.
Let's identify a and b in our expression:
- Here, a=x and b=x2.
Applying the formula:
(x−x2)2=(x)2−2(x)(x2)+(x2)2
Calculating each part, we get:
- (x)2=x2
- −2(x)(x2)=−2x3
- (x2)2=x4
Combining these results, the expression simplifies to:
x4−2x3+x2
Therefore, the expanded form of (x−x2)2 is x4−2x3+x2.
x4−2x3+x2