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Marysya12 [62]
3 years ago
12

Use the chart to multiply the binomial by the trinomial.

Mathematics
2 answers:
PSYCHO15rus [73]3 years ago
8 0

Answer:

The result of the multipy the binomial by the trinomial is y^3+27.

Step-by-step explanation:

To complete the empty spaces of the chart we multipy the term of the row with the term of the column.Then we sum each monomial of the chart:

y^3-3y^2+9y+3y^2-9y^2+27 = y^3+0y^2+0y+27 = y^3+27

sukhopar [10]3 years ago
5 0
Answer:  " -2y³ + 3y²<span> + 27y " . 
_______________________________________________________
Refer to the completed chart below (image attached).</span>
_______________________________________________________
Using the completed chart below (image attached), we can write out the terms:
__________________________________________________
  y³ − 3y³ + 9y² + 3y² − 9y² + 27y ;

Then, we can combine the "like terms" ;
__________________________________________
y³ − 3y³  = -2y³ ;

+9y² + 3y² − 9y² =  + 3y² ;
___________________________________________________________
to get:  -2y³ + 3y² ;   and bring down the "+27y" ;
___________________________________________________________
    Answer:  " -2y³ + 3y²<span> + 27y " .   </span>Refer to chart below (image attached).
___________________________________________________________

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3 years ago
Write the equation of the sphere in standard form. x^2 + y^2 + z^2 + 2x − 4y − 6z = 22
madam [21]

The equation x^{2} +y^{2} +z^{2} +2x-4y-6z=22  in standard form looks like (x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}.

Given equation of sphere be x^{2} +y^{2} +z^{2} +2x-4y-6z=22.

We are required to express the given equation in the standard form of the equation of sphere.

Equation is basically relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It may be linear equation,quadratic equation, cubic equation or many more depending on the powers of variables. The standard form of the equation of sphere looks like  x^{2} +y^{2} +z^{2} =r^{2}.

The given equation is x^{2} +y^{2} +z^{2} +2x-4y-6z=22.

We have to break 22 which is in right side into various parts according to the left side of the equation.

x^{2} +y^{2} +z^{2} +2x-4y-6z=-1-4-9+36

x^{2} +y^{2} +z^{2} +2x-4y-6z+1+4+9=36

x^{2} +1+2x+y^{2}+4-4y+z^{2} +9-6z=36

x^{2} +(1)^{2} +2*1*x+y^{2} +(2)^{2} -2*2y+z^{2} +(3)^{2} -2*3z=36

(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}

Hence the equation x^{2} +y^{2} +z^{2} +2x-4y-6z=22  in standard form looks like (x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}.

Learn more about equations at brainly.com/question/2972832

#SPJ4

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