(m%2B1).jpeg "(m+4)(m+1)")
Expanding (m+4)(m+1)
The expression (m+4)(m+1) represents the product of two binomials. To simplify this, we can use the FOIL method:
First: Multiply the first terms of each binomial: m * m = m² Outer: Multiply the outer terms: m * 1 = m Inner: Multiply the inner terms: 4 * m = 4m Last: Multiply the last terms: 4 * 1 = 4
Now, we add all the terms together:
m² + m + 4m + 4
Finally, combine the like terms:
m² + 5m + 4
Therefore, the expanded form of (m+4)(m+1) is m² + 5m + 4.
Key Points:
- The FOIL method is a helpful mnemonic device for remembering the steps of multiplying two binomials.
- Remember to combine like terms after applying the FOIL method.
This expression is a quadratic expression because the highest power of the variable 'm' is 2. It can also be factored into its original form (m+4)(m+1).