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2 years ago

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Need help! The product of the polynomials (2ab + b) and (a2 – b2) is 2a3b-2ab3+a2b-b3 . If this product is multiplied by (2a + b

), the result is a polynomial with terms.

1 answer:

ella [17]2 years ago

6 0

The result is polynomial:
= $4a^{4}b - 4 a^{2} b^{3} + 2 a ^{3} b - 2ab^{3} + 2 a ^{3}b^{2} - 2 ab^{4} + a ^{2} b^{2} -b^{4}$

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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

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7 0

1 year ago

571428 to nearest tenth

vichka [17]

Thw answer is 571430 because 28 rounds to 30

4 0

2 years ago

How do u round 14,494 to the nearest thousand

Reil [10]

Look at the digit one number place to the right of the thousands place, the hundreds. In this case it is another 4. Since it is less than 5, the thousands place will stay the same. If it were 5 or greater, the thousands place would go up by one number. 14,494 rounded to the nearest thousand is 14,000

7 0

2 years ago

1) translation: 1 unit left

Otrada [13]

Answer:

x=(1,0)

g=(3,0)

q=(1,-2)

u=(2,-4)

Step-by-step explanation:

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2 years ago

If <1 and <2 are vertical angles with m<1=(2x+11) and m<2=(5x-25) what is the m<2?

tangare [24]

Answer:

Step-by-step explanation:

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2 years ago