Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Join our Q&A platform and connect with professionals ready to provide precise answers to your questions in various areas. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

Complete the following procedure to obtain the perfect square trinomial:

[tex]\((5x + 8y)\)[/tex]

The square of the sum of the terms is equal to:

a) The square of the first term:
[tex]\[ (5x)^2 \][/tex]

b) Plus twice the product of both terms:
[tex]\[ 2 \times (5x) \times (8y) \][/tex]

c) Plus the square of the second term:
[tex]\[ (8y)^2 \][/tex]

Sagot :

GinnyAnswer
Para completar el trinomio cuadrado perfecto del binomio [tex]\((5x + 8y)\)[/tex] debemos seguir estos pasos.

1. El cuadrado del primer término:

Considera el primer término del binomio, que es [tex]\(5x\)[/tex].

[tex]\[ (5x)^2 = 25x^2 \][/tex]

2. El doble del producto de ambos términos:

Tomamos ambos términos del binomio, que son [tex]\(5x\)[/tex] y [tex]\(8y\)[/tex], y los multiplicamos, luego multiplicamos el resultado por 2:

[tex]\[ 2(5x \cdot 8y) = 2(40xy) = 80xy \][/tex]

3. El cuadrado del segundo término:

Considera el segundo término del binomio, que es [tex]\(8y\)[/tex].

[tex]\[ (8y)^2 = 64y^2 \][/tex]

Por lo tanto, el trinomio cuadrado perfecto resultante del binomio [tex]\((5x + 8y)\)[/tex] será la suma de los tres términos calculados:

[tex]\[ (5x + 8y)^2 = 25x^2 + 80xy + 64y^2 \][/tex]
Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.