Understanding (7u)^2
In mathematics, (7u)^2 represents the square of the expression (7u). This means we multiply the expression by itself:
(7u)^2 = (7u) * (7u)
To simplify this, we use the distributive property of multiplication:
(7u) * (7u) = 7 * u * 7 * u
Then, we rearrange the terms and perform the multiplication:
7 * 7 * u * u = 49 * u^2
Therefore, the simplified form of (7u)^2 is 49u^2.
Key Points to Remember:
- Squaring an expression means multiplying it by itself.
- The distributive property allows us to multiply each term within the parentheses separately.
- When multiplying variables with exponents, we add the exponents.
By following these steps, we can confidently simplify expressions involving squares of variables and coefficients.