Find each product. (x+5)(x−5)

Guida verificata passo dopo passo

Recognize that the expression (x+5)(x-5) is a product of two binomials in the form of a difference of squares.

Recall the difference of squares formula: $\\(a+b)(a-b) = a^2 - b^2\$\).

Identify $a = x$ and $b = 5$ in the given expression.

Apply the formula by squaring each term: $x^2$ and \$5^2$.

Write the product as $x^2 - 25$.

Risposta video verificata per un problema simile:

Questa soluzione video è stata consigliata dai nostri tutor come utile per risolvere questo problema.

Durata del video:

Concetti chiave

Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.

Binomial Expressions

A binomial is a polynomial with exactly two terms, such as (x + 5) or (x - 5). Understanding binomials is essential because the problem involves multiplying two binomials, which requires applying specific algebraic rules.

Video consigliato:

05:09

Introduction to Algebraic Expressions

Product of Binomials

Multiplying two binomials involves using the distributive property (FOIL method) to multiply each term in the first binomial by each term in the second. This process expands the expression into a polynomial.

Video consigliato:

03:41

Special Products - Cube Formulas

Difference of Squares Formula

The expression (x + 5)(x - 5) is a classic example of the difference of squares, which states that (a + b)(a - b) = a² - b². Recognizing this pattern simplifies multiplication and helps quickly find the product.

Video consigliato: