Jasonbradley
Home

(y+8)(y+1)

2 min read Jun 17, 2024
(y+8)(y+1)

Expanding (y+8)(y+1)

This expression represents the product of two binomials: (y+8) and (y+1). To expand it, we can use the FOIL method, which stands for First, Outer, Inner, Last.

Here's how it works:

  1. First: Multiply the first terms of each binomial: y * y = y²
  2. Outer: Multiply the outer terms of the binomials: y * 1 = y
  3. Inner: Multiply the inner terms of the binomials: 8 * y = 8y
  4. Last: Multiply the last terms of each binomial: 8 * 1 = 8

Now we have: y² + y + 8y + 8

Finally, combine the like terms (y and 8y): y² + 9y + 8

Therefore, the expanded form of (y+8)(y+1) is y² + 9y + 8.

Understanding the FOIL method

The FOIL method is a helpful mnemonic for remembering the steps involved in multiplying binomials. It ensures that we multiply each term in the first binomial by each term in the second binomial.

This method can be applied to any two binomials, and it's a fundamental concept in algebra.

Featured Posts