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Inessa [10]
3 years ago
14

Coefficient of x^2 in the expansion of (x-3)^3

Mathematics
2 answers:
Mila [183]3 years ago
7 0

Answer:

-9

Step-by-step explanation:

(x-3)(x-3)(x-3)

(x^2-6x+9)(x-3)

x^3-9x^2+27x-27

Therefore, the coefficient of x^2 is -9.

Romashka [77]3 years ago
7 0

Answer:

-9

Step-by-step explanation:

=> (x-3)³

=> (x-3)(x-3)(x-3)

=> (x²-6x+9)(x-3)

=> x³-3x²-6x²+18x+9x-27

=> x^3-9x^2+27x-27

<u><em>So, the coefficient of x² is -9</em></u>

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What are the center and radius of the circle described by the equation x2 + y2 + 6x + 10y + 18 = 0?
frosja888 [35]

Answer:

Step-by-step explanation:

What are the center and radius of the circle described by the equation x2 + y2 + 6x + 10y + 18 = 0?

Center (3.5); Radius 4

Center (-3,-5); Radius 4

O Center (3,5); Radius 16

O Center (3.5); Radius 10

x² + y²+ 6x + 10y + 18 = 0

x² + 6x + y² + 10y = -18

x² + 6x + 9 + y² + 10y + 25 = -18 + 6 + 9

x² + 3x + 3x + 9 + y² + 5y + 5y + 25 = -3

5 0
3 years ago
2. John earns a 3% commission for every car he sells. Today he sold a car for $13,600. How much commission did he receive? (To f
OlgaM077 [116]

Answer:

$408

Step-by-step explanation:

Find 3% of $13,600:

3 * 13,600 / 100 = $408

7 0
3 years ago
If x−3=5, what is the value of 2(x+4)?
Wittaler [7]

Answer:

24

Step-by-step explanation:

x-3=5, solve for x so that x=5+3

now put this in place of x in the expression 2(x+4)

2[(5+3)+4]

2(8+4)

2(12)

24

3 0
3 years ago
Read 2 more answers
Huilan's age is two times thomas's age. the sum of their ages is 84. what is thomas's age?
igomit [66]
H is 2t
h + t = 84
2t + t = 84
3t =84
t = 28
Thomas is 28 and huilan is 56
3 0
3 years ago
Multiply the following polynomials
Sophie [7]

Answer  (2x + 7) • (x2 - 2)

Step-by-step explanation:

please give me brainlest!!

Step by step solution :

Step  1  :

Trying to factor as a Difference of Squares :

1.1      Factoring:  x2-2

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 2 is not a square !!

Ruling : Binomial can not be factored as the difference of two perfect squares.

Final result :

 (2x + 7) • (x2 - 2)

6 0
3 years ago
Read 2 more answers
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