All categories

4 years ago

Factor completely 125x-27x^4 Step by step explanation

Mathematics

1 answer:

Vera_Pavlovna [14]4 years ago

8 0

Answer:

125x - 33x⁴

Pull out like factors :

125x - 27x⁴ = -x • (27x3 - 125)

Factoring: 27x³- 125

Theory : A difference of two perfect cubes, a³ - b³ can be factored into

(a-b) • (a² +ab +b²)

(a-b)•(a²+ab+b²) =

a³+a²b+ab²-ba²-b²a-b³ =

a³+(a2b-ba²)+(ab²-b²a)-b³ =

a³+0+0+b³ =

a³+b³

Check : 27 is the cube of 3

Check : 125 is the cube of 5

Check : x³ is the cube of x¹

Factorization is :

(3x - 5) • (9x² + 15x + 25)

You might be interested in

How to write 8 21/40 as a decimal

timofeeve [1]

$8 \frac{21}{40} ~~ =\ \textgreater \ ~~ \frac{8*40+21}{40} ~~ =\ \textgreater \ ~~ \frac{341}{40} ~~ =\ \textgreater \ ~~ 8.525$

6 0

3 years ago

The shape of Joy’s room is a rectangle 540 cm long by 250 cm wide.

UNO [17]

<h2><u>Question</u><u>:</u><u>-</u></h2>

The shape of Joy’s room is a rectangle 540 cm long by 250 cm wide.

a. Work out the area of his room in Square meters.

b. How much does he pay to buy flooring for his room where flooring costs $ 40 per square meter

<h2><u>Question</u><u> </u><u>No</u><u>.</u><u> </u><u>a</u></h2>

Work out the area of his room in Square meters.

<h3><u>Given</u><u>:</u><u>-</u></h3>

Length of the room 540 cm = 540/100 m = 5.4m
Breadth of the room 250cm = 250/100 m = 2.5m

Area of the room.

<h3><u>Solution</u>:-</h3>

We know that:-

Area of a rectangle = (length × breadth)sq.units

Therefore,

Area of the rectangular room = (5.4 × 2.5) square meters

=> Area of the rectangular room = 13.5 square meters.

<h3><u>Answer</u><u>:</u><u>-</u></h3>

Area of his room is 13.5 square meters.

<h2><u>Question</u><u> </u><u>No</u><u>.</u><u> </u><u>b</u></h2>

How much does he pay to buy flooring for his room where flooring costs $ 40 per square meter

<h3><u>Given</u><u>:</u><u>-</u></h3>

Cost in per square meter = $40
Area of the room = 13.5 square meters (From question a)

Total cost of flooring

<h3><u>Solution</u><u>:</u><u>-</u></h3>

Flooring cost in 1 squre meter = $40

Flooring cost in 13.5 square meters = $(40 × 13.5) = $540

<h3><u>Answer</u><u>:</u><u>-</u></h3>

He pays $540 to buy flooring for his room.

Hope this helps you!! (^_^)

5 0

3 years ago

Given the inequality −6

CaHeK987 [17]

The absolute value inequality is |x - 6| < 12 and the complete points are Midpoint = 6 and Distance = 12

<h3>How to complete the inequality?</h3>

The inequality expression is given as

-6 < x < 18

The distance is calculated as:

Distance = |18 -(-6)|/2

Evaluate the difference

Distance = 12

The midpoint is calculated as:

Midpoint = 0.5 * (18 - 6)

Evaluate

Midpoint = 6

The absolute value inequality is represented as

|x - Midpoint| < Distance

So, we have

|x - 6| < 12

Hence, the absolute value inequality is |x - 6| < 12 and the complete points are Midpoint = 6 and Distance = 12

Read more about absolute value inequality at

brainly.com/question/13282457

#SPJ1

8 0

1 year ago

Use green's theorem to find integral subscript c left parenthesis y space plus space e to the power of square root of x end expo

Flauer [41]

My best interpretation of the math here is that you're talking about the line integral,

$\displaystyle \int_C \left(y+e^{\sqrt x}\right) \, dx + \left(2x + \cos\left(y^2\right)\right) \, dy$

I won't bother trying to decipher what look like multiple choice solutions.

By Green's theorem, the line integral above is equivalent to

$\displaystyle \iint_D \frac{\partial\left(2x+\cos\left(y^2\right)\right)}{\partial x} - \frac{\partial\left(y+e^{\sqrt x}\right)}{\partial y} \, dx \, dy$

where D is the set

$D = \left\{ (x, y) : 0 \le x \le 1 \text{ and } 0 \le y \le x^2 \right\}$

Compute the double integral:

$\displaystyle \int_0^1 \int_0^{x^2} \left(2 - 1\right) \, dy \, dx = \int_0^1 \int_0^{x^2} dy \, dx = \int_0^1 x^2 \, dx = \boxed{\frac13}$

7 0

3 years ago

ORDERING REAL NUMBERS

Bess [88]

3/25, 0.1, -√86, -9.34

4 0

3 years ago

Read 2 more answers