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sleet_krkn [62]
3 years ago
10

Find the product. (3x + y) (3x - 3y)

Mathematics
2 answers:
Katarina [22]3 years ago
7 0

Answer:

9x^{2} -6xy-3y^{2}

Step-by-step explanation:

(3x+y)(3x+-3y)

(3x)(3x)+(3x)(-3y)+(y)(3x)+(y)(-3y)

9x^{2} -9xy+3xy-3y^{2}

9x^{2} -6xy-3y^{2}

daser333 [38]3 years ago
5 0

Answer:

9xsq - 6xy -3ysq

Step-by-step explanation:

3x x 3x = 9xsq

3x x -3y= -9xy

y x 3x = 3xy

y x -3y= -3ysq

9xsq -9xy +3xy -3ysq

9xsq -6xy - 3ysq

sq = squared

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Answer:

16 is the answer

Step-by-step explanation:

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3 years ago
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Describe the steps you would use to factor 2x3 + 5x2 – 8x – 20 completely. Then state the factored form.
WARRIOR [948]
The polynomial 2x^3 + 5x^2-8x-20 may have solutions which are the divisors of -20, therefore -20 has the following divisors: \pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20.
If x=1, then 2\cdot1^3 + 5\cdot1^2-8\cdot1-20=-20\neq 0,
if x=-1, then 2\cdot(-1)^3 + 5\cdot(-1)^2-8\cdot(-1)-20=-9\neq 0,
if x=2, then 2\cdot2^3 + 5\cdot2^2-8\cdot2-20=0, then x=2 is a solution and you have the first factor (x-2). 
If x=-2, then 2\cdot(-2)^3 + 5\cdot(-2)^2-8\cdot(-2)-20=0, then x=-2 is a solution, so you have the second factor (x+2).
Since x-2 and x+2 are two factors of 2x^3 + 5x^2-8x-20 , then the polynomial x^2-4 is a divisor of 2x^3 + 5x^2-8x-20 and dividing the polynomial 2x^3 + 5x^2-8x-20 by x^2-4 you obtain 
 2x^3 + 5x^2-8x-20=(x-2)(x+2)(2x+5).











5 0
3 years ago
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PLEASE HELP ASAP I'M BEING TIMED!!!!!!!!!!!!!!!!!!!!!! WIll mark BRAINLIEST!!!!!!!!!!!!
irina [24]

A) Use the distance formula to find the length of each side, and then add the lengths.

6 0
3 years ago
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The largest sea turtle found in the United States had a mass of 860.24 kg. If the gravitational potential energy associated with
Romashka-Z-Leto [24]
2.4080 meters.

Remember that the definition of work is force over distance. And that the gravitational potential energy that the turtle has will exactly match the work performed in lifting it. So have the following variables
Mass = 860.24 kg
Work = 20320.7 J = 20320.7 kg*m^2/s^2
Gravitational acceleration = 9.81 m/s^2
And we wish to get an answer in meters. So we need to multiply and divide the three numbers we have with all their related units and derive an answer with the unit of m. We can cancel out most of the units by dividing the work by the gravitational acceleration, so
20320.7 kg*m^2/s^2 / 9.81 m/s^2 = <span> <span>2071.427 kg*m

Now we can cancel out the kg unit by dividing by the mass of the turtle. So
</span></span><span> 2071.427 kg*m / 860.24 kg = </span><span> <span>2.407964 m

Rounding to 5 significant figures gives 2.4080 meters.

</span></span>
6 0
3 years ago
Solve the inequality and graph the solution <br><br> -5-7x &lt; -40
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Answer:

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Step-by-step explanation:

-5-7x < -40

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Divide by -7, remembering to flip the inequality

-7x/-7 > -35/-7

x > 5

Open circle at 5, going to the right

4 0
3 years ago
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