Polynomial Expansion Calculator
Input Examples
- \(\displaystyle \small{\left(x+3\right)^2\rightarrow} \) (x+3)^2
- \(\displaystyle \small{ \left(x+\frac{1}{2}a\right)^3 \rightarrow} \) (x+(1/2)a)^3
- \(\displaystyle \small{\left(x+y+z\right)^2\rightarrow} \) (x+y+z)^2
How to Use
- You can use the characters \( \small{a,b,c,x,y,z} \).
- Represent exponentiation with ^.
- Use only () for parentheses.
- Polynomial Factorization Calculator is available at this link.
What is expansion?
Expansion is the process of unraveling a character expression containing a product form into a sum form.
For example, \( \left(x+1 \right)^{2} \) can be expanded as follows
\[ \left(x+1\right)^2=x^2+2x+1 \]
Example
Example 1
Expand \(\displaystyle \left(x+y+1\right)^2 \).
Solution
\(\displaystyle x^{2}+2xy+2x+y^{2}+2y+1 \)
Example 2
Expand \(\displaystyle \left(x+y\right)^3 \).
Solution
\(\displaystyle x^{3}+3x^{2}y+3xy^{2}+y^{3} \)