Find each product. See Example 5. (4r - 1) (7r + 2)

Guida verificata passo dopo passo

Identify the two binomials to be multiplied: $(4r - 1)$ and $(7r + 2)$.

Apply the distributive property (also known as the FOIL method) to multiply each term in the first binomial by each term in the second binomial: First, Outer, Inner, Last.

Multiply the First terms: $4r \times 7r = 28r^{2}$.

Multiply the Outer terms: $4r \times 2 = 8r$.

Multiply the Inner terms: $-1 \times 7r = -7r$, and multiply the Last terms: $-1 \times 2 = -2$. Then combine like terms \$8r$ and $-7r$ to simplify the expression.

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.

Distributive Property

The distributive property allows you to multiply each term inside one parenthesis by each term inside the other. For example, in (a + b)(c + d), you multiply a by c and d, then b by c and d, combining all products.

Video consigliato:

Percorso guidato

2:20

Imaginary Roots with the Square Root Property

Multiplying Binomials

Multiplying binomials involves applying the distributive property twice, often remembered as FOIL (First, Outer, Inner, Last). This method ensures all terms are multiplied correctly to form a polynomial.

Video consigliato:

Percorso guidato