Divide the following using the fraction method., 1. (12×5 + 9×2 – 6x) \xf7 (3x\xb2)=?, 2. (20y\xb3 2013 12y + 2) \xf7 (2y)=?, 3. (-10×2076 + 25x\xb3 -5x) \xf7 (5x\xb2)=? , 4. (24y\xb2 2013 12y2074 + 16y\xb3) \xf7 (-4y\xb3)=?, 5. (36x2074y3 + 18x\xb2y\xb2 2013 24x\xb3y\xb2) \xf7 (3x\xb2+y)=?

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Divide the following using the fraction method.


1. (12×5 + 9×2 – 6x) ÷ (3x²)=?
2. (20y³ – 12y + 2) ÷ (2y)=?
3. (-10x⁶ + 25x³ -5x) ÷ (5x²)=?
4. (24y² – 12y⁴ + 16y³) ÷ (-4y³)=?
5. (36x⁴y3 + 18x²y² – 24x³y²) ÷ (3x²+y)=?​

Answer:

1.

standard:  \frac{24}{?x}  \\ quotient: 0 \\ remainder: 72x

2.

standard: 10y {}^{2}  + \:  \frac{1}{y} -6 \\ quotient: 10y {}^{2}  -   6 \\ remainder: 2

3.

standard: -2x {}^{4}  +  5x- \:  \frac{1}{x} texstandard: -2x {}^{4}  +  5x- \:  \frac{1}{x}  \\ quotient: -2x {}^{4}  +5xtexstandard: -2x {}^{4}  +  5x- \:  \frac{1}{x}  \\ quotient: -2x {}^{4}  +5x \\ remainder: -5x

4.

standard: 3y  -  \frac{6}{y}  - 4 \\ quotient: 3y 4texstandard: 3y  -  \frac{6}{y}  - 4 \\ quotient: 3y 4 \\ remainder: 24y {}^{2}

5.

standard:texstandard: \frac{8xy {}^{3 } + 6y {}^{3} }{3x {}^{2} + y } +36x {}^{2} y  - 8xy {}^{2} -   6y {}^{2} texstandard: \frac{8xy {}^{3 } + 6y {}^{3} }{3x {}^{2} + y } +36x {}^{2} y  - 8xy {}^{2} -   6y {}^{2}  \\ quotient: 36yx {}^{2}  - 8xy {}^{2}  - 6y {}^{2} texstandard: \frac{8xy {}^{3 } + 6y {}^{3} }{3x {}^{2} + y } +36x {}^{2} y  - 8xy {}^{2} -   6y {}^{2}  \\ quotient: 36yx {}^{2}  - 8xy {}^{2}  - 6y {}^{2}  \\ remainder: 8xy {}^{3}  +  6y {}^{3}

Step-by-step explanation:

1.

Divide by long division:

3x+0x 72x

Divide using long division:

standard: 24

X

quotient: 0

remainder: 72x

2.

Divide by long division:

10y- 6

2y 20y+0y- 12y +2

20y

– 12y +2

-12y

2

Divide using long division:

standard: 10y2+-6

y

quotient: 10y 6

remainder: 2

3.

Divide by long division:

– 2x+5x

5x+0x – 10+0x+0x+2 5x+C

– 10

25 x- 5

25x

Divide using long division:

standard: -2x 5x-

X

quotient: -2x +5x

remainder: -5x

4.

Divide by long division:

– 4y+0 y +0 y – 12 y+16y+2 4y

12y

16 y+24y

16y

24y

Divide using long division:

6 A

standard: 3y 4

y

quotient: 3y 4

remainder: 24y

5.

Divide by long division:

36

3x+0x +y x\cãdt8 y +*\ctot 4 y +

108xy +3 6xy

– 24xy- 18xy

– 24xy- 8xy

– 18

– 18

Divide using long division:

standard:

8xy3+ 6y3 +36xy 8xy2 6y2

3×2+y

quotient: 36yx – 8xy – 6y4

remainder: 8xy3 6y3

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