All categories

2 years ago

Factorize:a⁴-a³+2a²

Mathematics

2 answers:

gavmur [86]2 years ago

7 0

${a}^{4} \: - \: {a}^{3} \: + \: {2a}^{2}$

Factor the expression with the common factor that is "a²".

$\boxed{ \bold{ {a}^{2} \: \times \: ( {a}^{2} \: - \: a \: + \: 2)}}$

<h3>MissSpanish </h3>

r-ruslan [8.4K]2 years ago

3 0

Answer:

a²(a²-a+2)

Step-by-step explanation:

Solution Given:

a⁴-a³+2a²

first taking common a²

we get

a²(a²-a+2) which is a required answer.

You might be interested in

Choose the two rectangular prisms that have a volume of 36cm^3?

oee [108]

Answer:

Correct choices: B, D

Step-by-step explanation:

The Volume of a Rectangular Prism

Given a rectangular prism of dimension W, L, and H, the volume is calculated as:

V = WLH

Each small cube of the figure has a volume of 1 cube centimeter. We need to calculate the volume of each solid and determine which ones have a volume of 36 cube cm.

A: V = 5*3*4 = 60 cube cm

B: V = 3*3*4 = 36 cube cm

C: V = 3*4*2 = 24 cube cm

D: V = 6*2*3 = 36 cube cm

E: V = 2*4*2 = 16 cube cm

Correct choices: B, D

8 0

2 years ago

8. Is the following statement true or false? Justify your conclusion. If a and b are nonnegative real numbers and a + b =0, then

atroni [7]

Answer:

If $a + b = 0$ then $a = 0$ and $b =0$

a | b | a + b (answer)

0 | 0 | 0

0 | 1 | 1

0 | 2 | 2

1 | 0 | 1

2 | 0 | 2

1 | 1 | 2

2 | 1 | 3

Step-by-step explanation:

Considering the following conditions for the real numbers:

$a\geq 0\\b\geq 0$

Following the rules of these in-equations, it is possible to deduce:

$a + b \geq 0$

Then, if the proposed statement is:

$a + b = 0$

The conditions above shall comply the requirements established, but first, analyzing the statement:

If $a \geq 0$ and $b \geq 0$ then $a + b \geq a$ , $a + b \geq b$ and $a + b \geq 0$ .

If $a = 0$ and b a non negative real number, then $a + b \geq b$ , but because to $a = 0$ , then $a + b = b$ . Due to the commutative property of sums, the same behavior will be presented if $b = 0$ and a a non negative real number.

According to that, if $a + b = 0$ , then $a = 0$ and $b = 0$ .

7 0

3 years ago

A climber is standing at the top of Mount Kilimanjaro, approximately 3.7 mi above sea level. The radius of the Earth is 3959 mi.

RoseWind [281]

We are given
height = 3.7 mi
radius = 3959 mi

We are asked for the distance between the man and the horizon
The straight line from the man to the horizon is a tangent line to the surface of the earth
Using Pythagorean theorem
(3.7 + 3959)² = 3959² + d²

Solve for d
d = 171 mi

6 0

3 years ago

Read 2 more answers

8. Rename the quadratic function f(x) = -2(x + 4)2 - 5 in standard form. A. f(x) = -2x2 + 16x - 37 G. f(x) = -2x2 – 16x + 27 B.

NNADVOKAT [17]

Answer:

see explanation

Step-by-step explanation:

f(x)= -2(x²+8x+16)-5

$-2 {x}^{2} - 16x - 32 - 5 \\ f(x)= - 2 {x}^{2} - 16x - 37$