Jasonbradley
Home

(2a+5b)(a-4b)

less than a minute read Jun 16, 2024
(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.

Related Post

Featured Posts