(a-4b).jpeg "(2a+5b)(a-4b)")
Expanding (2a + 5b)(a - 4b)
This expression represents the product of two binomials. To expand it, we can use the FOIL method, which stands for:
- First: Multiply the first terms of each binomial.
- Outer: Multiply the outer terms of the binomials.
- Inner: Multiply the inner terms of the binomials.
- Last: Multiply the last terms of each binomial.
Let's apply this method to our expression:
(2a + 5b)(a - 4b)
- First: (2a)(a) = 2a²
- Outer: (2a)(-4b) = -8ab
- Inner: (5b)(a) = 5ab
- Last: (5b)(-4b) = -20b²
Now, we combine all the terms:
2a² - 8ab + 5ab - 20b²
Finally, we simplify by combining the like terms:
2a² - 3ab - 20b²
Therefore, the expanded form of (2a + 5b)(a - 4b) is 2a² - 3ab - 20b².