evxlynnr15
evxlynnr15 evxlynnr15
  • 17-08-2021
  • Mathematics
contestada

Write the following expression
as a
simplified polynomial in standard form.
2(x – 5)^2 + 2(x – 5) + 5

Respuesta :

Аноним Аноним
  • 17-08-2021

Answer:

2x^2 - 18x + 45

Step-by-step explanation:

Standard form is ax^2 + bx + c

Expand the (x-5)^2 = (x-5)(x-5) --

x^2 - 5x - 5x + 25

x^2 - 10x + 25

So we now have

2(x^2 - 10x + 25) + 2(x-5) + 5

From here, distribute the 2 to each term in x^2 - 10x + 25, and distribute the 2 to each term in x - 5.

2x^2 - 20x + 50 + 2x - 10 + 5

Combine like terms

2x^2 - 20x + 2x + 50 - 10 + 5

2x^2 - 18x + 40 + 5

2x^2 - 18x + 45

Answer Link

Otras preguntas

? What is the solution of y − 4x = 0 and 3x + 6y = 9?
The two most important components in creating implied texture are _______________.
Wordsworth's early poems do not yet reflect which of his qualities? his enthusiasm his commitment to Romantic thought his disillusionment with the outcome of th
What will happen if you forget to water your plants?
27 inches to 5 feet ratio
how were the social classes divided in Spanish and Portuguese colonies in the Americas?
How did the Soviet’s win at Stalingrad help advance the Allies’ Europe First strategy?
the sum of five times a number and -6 is -2
In a discus competition an athlete threw the discus 63.37 meters 62.95 meters and 63.7 meters order the distances from least to greatest.
What tracks the movement of the hydrosphere