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3 years ago

Factorize x^3 +x^2-4x-4

Mathematics

1 answer:

guapka [62]3 years ago

5 0

X^3+x^2-4x-4
x^2•(x+1)-4(x+1)
(x+1)•(x^2-4)
= (x+1)•(x-2)•(x+2)

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Expand and simplify bracket please quickly

natulia [17]

Answer:

4y²-1/4 is the required answer

Step-by-step explanation:

$(2y - \frac{1 }{2} )(2y + \frac{1}{2} ) \\ using \: formula \: {x}^{2} - y {}^{2} = (x - y)(x + y) \\ 4y {}^{2} - \frac{1}{4}$

4 0

2 years ago

The triathletes were offered water as they rode by the volunteer station. The volunteers handed them cones with the dimensions s

sladkih [1.3K]

Considering the volume of the cone, it is found that each triathlete sloshed out 9.5 cm³ of water.

<h3>What is the volume of a cone?</h3>

The volume of a cone of <u>radius r and height h</u> is given by:

V = 1/3 x r² x h

In this problem, the radius and the height are given as follows:

r = 3.5 cm, h = 7 cm.

Hence the total volume is:

V = 1/3 x 3.5² x 7 = 28.6 cm³

The triathletes sloshed out 1/3 of that, hence:

1/3 x 28.6 = 9.5 cm³.

More can be learned about the volume of a cone at brainly.com/question/14281550

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3 0

2 years ago

Thanks in advances

lisov135 [29]

in this equation y=4/3x+4

hope this helps

5 0

3 years ago

This is so confusing please help asap !

Tju [1.3M]

I don’t know how sorta

7 0

2 years ago

Read 2 more answers

Let B be the basis of P3 consisting of the Hermite polynomials in Exercise 21, and let p.t / D 7 ! 12t ! 8t 2 C 12t 3. Find the

Anastasy [175]

To calculate the relative vector of B we have to:

$P_B=\left[\begin{array}{ccc}3\\3\\-2\\3/2\end{array}\right]$

The coordenates of:

$p(t)= 12t^3-8t^2-12t+7$ , with respect to B satisfy:

$C_1(1)+C_2(2t)+C_3(-2+4t^2)+C_4(-12t+8t^3)= 7-12t-8t^2+12t^3$

Equating coefficients of like powers of t produces the system of equation:

$\left \{ {C_1-2C_3=7} \atop {2C_2-12C_4=-12} \right. \\\left \{ {{4C_3=-8} \atop {8C_4=12}} \right.$

After solving this system, we have to:

$C_1=3\\C_2= 3\\C_3= -2\\C_4= \frac{3}{2}$

And the result is:

$P_B=\left[\begin{array}{ccc}3\\3\\-2\\3/2\end{array}\right]$

Learn more: brainly.com/question/16850761

4 0

3 years ago

Factorize x^3 +x^2-4x-4​

Factorize x^3 +x^2-4x-4