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3 years ago

Expand or factor each of the following expressions to determine which expressions are equivalent.

Mathematics

1 answer:

IceJOKER [234]3 years ago

5 0

Answer:

1. 9x^2-24xy16y^2

3.9y^2-246y+1681

4. 18x^2+54x-44

Step-by-step explanation:

1. (3x)^2-2*3x*4y+(4y)^2

9x^2-2*3x4y+(4y)^2

9x^2-24xy+(4y)^2

9x^2-24xy+16y^2

Ans: 9x^2-24xy+16y^2 the (*) are times

2. 912+31-20=923

ANS: 13*71

3. 1681-246y+9y^2

9y^2-246y+1681

ANS : 9y^2-246y+1681

4. 3x*(9*2+6x+4)-2(9*2+6x+4)

54x+18^2+12x-2(9*2+6x+4)

54x+18x^2+12x-36-12x-8

54x+18^2+12x-36-12x-8

54x+18x^2-36-8

18x^2+54x-36-8

18x^2+54x-44

Ans: 18x^2+54x-44

5. 3x*3x-3x*4+5*3x-5*4

9x^2-3x*4+5*3x-5*4

9x^2-12x+5*3x-5*4

9x^2-12x+15x-5*4

9x^2-12x+15x-20

ANS: 9x^2+3x-20

6. (31+2)(912-61+4)=28215

ANS : 3^3*5*11*19

7. 9.12-2414+1672

912/100-2414+1672

2^4*3*19/2^2*5^2 -2414+1672

2^4-2*3*19/5^2 -2414+1672

2^2*3*19/5^2 -742

(2^2*3*19)-5^2)742/5^2

(4*3*19)-25*742/5^2

228-18550/5^2

18322/5^2

8. 2713-8

2705

ANS: 5*541

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Answer:

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Step-by-step explanation:

GIVEN: Miranda has a bag of marbles with $5$ blue marbles, $1$ white marbles, and

TO FIND: a) A Blue, then a red Preview

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,c) A Blue, then a Blue, then a Blue.

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(a)

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Probability of drawing red marble $=\frac{\text{total red marble}}{\text{total marbles}}$

$=\frac{1}{6}$

(b)

Probability of drawing red marble $=\frac{\text{total red marble}}{\text{total marbles}}$

$=\frac{1}{7}$

As marble is not returned to bag,

Probability of drawing white marble $=\frac{\text{total white marble}}{\text{total marbles}}$

$=\frac{1}{6}$

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Probability of drawing blue marble $=\frac{\text{total blue marble}}{\text{total marbles}}$

$=\frac{5}{7}$

As marble is not returned to bag,

Probability of drawing second blue marble $=\frac{\text{total blue marble}}{\text{total marbles}}$

$=\frac{4}{6}=\frac{2}{3}$

As marble is not returned to the bag

Probability of drawing third blue marble $=\frac{\text{total blue marble}}{\text{total marbles}}$

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3 years ago

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