QuestionExpand and simplify $(x+3)(x-5)$

Studdy Solution

STEP 1

1. We are asked to expand and simplify the given expression.
2. The expression is a product of two binomials.

STEP 2

1. Apply the distributive property (also known as the FOIL method for binomials) to expand the expression.
2. Combine like terms to simplify the expression.

STEP 3

Apply the distributive property to expand the expression $(x+3)(x-5)$ . Use the FOIL method, which stands for First, Outer, Inner, Last:
First: Multiply the first terms in each binomial: $x \times x = x^2$ .
Outer: Multiply the outer terms in the binomials: $x \times (-5) = -5x$ .
Inner: Multiply the inner terms in the binomials: $3 \times x = 3x$ .
Last: Multiply the last terms in each binomial: $3 \times (-5) = -15$ .

STEP 4

Combine all the terms obtained from the expansion:
$x^2 - 5x + 3x - 15$
Combine the like terms $-5x$ and $3x$ :
$x^2 - 2x - 15$
This is the simplified form of the expression.

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms