All categories

2 years ago

Cual es el resultado de factorizar la expresion (-x⁴+ 25x²)

Mathematics

1 answer:

Fittoniya [83]2 years ago

4 0

Al factorizar la expresión dada obtenemos que es igual a x²*(5 - x)*(5 + 5)

Por propiedad de los números reales: tenemos que para a y b dos números reales, se cumple que:

(a² - b²) = (a + b)*(a - b)

Por lo tanto como tenemos: - x⁴ + 25x², ordenamos:

- x⁴ + 25x² = (25*x² - x⁴ = ((5x)² - (x²)²)

Usando la propiedad dada inicialmente: obtenemos que:

((5x)² - (x²)²) = (5x - x²)*(5x + x²)

Sacamos de cada término un factor común "x":

x*(5 - x)*x*(5 + x) = x²*(5 - x)*(5 + 5)

Puedes visitar: brainly.lat/tarea/12523641

You might be interested in

The perimeter of the rectangular shaped building is 960 feet. The shortest side of the building is 150 feet. What is the length

Vanyuwa [196]

150+150+2x=960 (width+width+2 length=perimeter)
subtract 300 from each side
2x=660
divide by 2
x=330
the length is 330 ft

8 0

2 years ago

Graph the line y = kx +1 if it is known that the point M belongs to it: M(1,3)

tigry1 [53]

Answer:

$M(x,y) = (1,3)$ belongs to the line $y = 2\cdot x +1$ . Please see attachment below to know the graph of the line.

Step-by-step explanation:

From Analytical Geometry we know that a line is represented by this formula:

$y=k\cdot x + b$

Where:

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

$k$ - Slope, dimensionless.

$b$ - y-Intercept, dimensionless.

If we know that $b = 1$ , $x = 1$ and $y = 3$ , then we clear slope and solve the resulting expression:

$k = \frac{y-b}{x}$

$k = \frac{3-1}{1}$

$k = 2$

Then, we conclude that point $M(x,y) = (1,3)$ belongs to the line $y = 2\cdot x +1$ , whose graph is presented below.

3 0

2 years ago

30 divide by 6 equal what

Lady bird [3.3K]

30 divided by 6 is 5

5 0

2 years ago

What is the central idea of Langston Hughes’s poem "Mother to Son"?

MariettaO [177]

Answer:

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Malcolm has 225 yards of yarn to make 100 bracelets. Suppose the total length of the yarn stayed the same, but instead of Malcol

ANTONII [103]

Given :

Length of yarn, l = 225 yards.

Number of bracelets he made, n = 1000 .

To Find :

How long will the yarn be for each bracelet.

Solution :

Let, length of yarn used in each bracelet is x.

So,

$x = \dfrac{Total\ length \ of yarn}{Number \ of \ bracelets\ made}\\\\x = \dfrac{225}{1000}\\\\x = 0.225 \ yards$

Therefore, length of yarn used in each bracelet is 0.225 yard.

7 0

2 years ago