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Simplify:
(4x² +7x³y²) − (−6x² - 7x³y² - 4x) - (10x + 9x²)

User Vonaka
by
8.6k points

1 Answer

7 votes

Answer:

1432+2−6

Explanation:

(4x2+7x3y2)−(−6x2−7x3y2−4x)−(10x+9x2)open paren 4 x squared plus 7 x cubed y squared close paren minus open paren negative 6 x squared minus 7 x cubed y squared minus 4 x close paren minus open paren 10 x plus 9 x squared close paren

42+732−−62−732−4−10+92

(7x3y2+4x2)−(−6x2−7x3y2−4x)−(10x+9x2)open paren 7 x cubed y squared plus 4 x squared close paren minus open paren negative 6 x squared minus 7 x cubed y squared minus 4 x close paren minus open paren 10 x plus 9 x squared close paren

732+42−−62−732−4−10+92

Rearrange terms

7x3y2+4x2−(−6x2−7x3y2−4x)−(10x+9x2)7 x cubed y squared plus 4 x squared minus open paren negative 6 x squared minus 7 x cubed y squared minus 4 x close paren minus open paren 10 x plus 9 x squared close paren

732+42−−62−732−4−10+92

7x3y2+4x2−(−7x3y2−6x2−4x)−(10x+9x2)7 x cubed y squared plus 4 x squared minus open paren negative 7 x cubed y squared minus 6 x squared minus 4 x close paren minus open paren 10 x plus 9 x squared close paren

732+42−−732−62−4−10+92

Distribute

7x3y2+4x2−(−7x3y2−6x2−4x)−(10x+9x2)7 x cubed y squared plus 4 x squared minus open paren negative 7 x cubed y squared minus 6 x squared minus 4 x close paren minus open paren 10 x plus 9 x squared close paren

732+42−−732−62−4−10+92

7x3y2+4x2+7x3y2+6x2+4x−(10x+9x2)7 x cubed y squared plus 4 x squared plus 7 x cubed y squared plus 6 x squared plus 4 x minus open paren 10 x plus 9 x squared close paren

732+42+732+62+4−10+92

Rearrange terms

7x3y2+4x2+7x3y2+6x2+4x−(10x+9x2)7 x cubed y squared plus 4 x squared plus 7 x cubed y squared plus 6 x squared plus 4 x minus open paren 10 x plus 9 x squared close paren

732+42+732+62+4−10+92

7x3y2+4x2+7x3y2+6x2+4x−(9x2+10x)7 x cubed y squared plus 4 x squared plus 7 x cubed y squared plus 6 x squared plus 4 x minus open paren 9 x squared plus 10 x close paren

732+42+732+62+4−92+10

Distribute

7x3y2+4x2+7x3y2+6x2+4x−(9x2+10x)7 x cubed y squared plus 4 x squared plus 7 x cubed y squared plus 6 x squared plus 4 x minus open paren 9 x squared plus 10 x close paren

732+42+732+62+4−92+10

7x3y2+4x2+7x3y2+6x2+4x−9x2−10x7 x cubed y squared plus 4 x squared plus 7 x cubed y squared plus 6 x squared plus 4 x minus 9 x squared minus 10 x

732+42+732+62+4−92−10

Combine like terms

7x3y2+4x2+7x3y2+6x2+4x−9x2−10x7 x cubed y squared plus 4 x squared plus 7 x cubed y squared plus 6 x squared plus 4 x minus 9 x squared minus 10 x

732+42+732+62+4−92−10

14x3y2+4x2+6x2+4x−9x2−10x14 x cubed y squared plus 4 x squared plus 6 x squared plus 4 x minus 9 x squared minus 10 x

1432+42+62+4−92−10

Combine like terms

14x3y2+4x2+6x2+4x−9x2−10x14 x cubed y squared plus 4 x squared plus 6 x squared plus 4 x negative 9 x squared minus 10 x

1432+42+62+4−92−10

14x3y2+1x2+4x−10x14 x cubed y squared plus 1 x squared plus 4 x minus 10 x

1432+12+4−10

Multiply by 1

14x3y2+1x2+4x−10x14 x cubed y squared plus 1 x squared plus 4 x minus 10 x

1432+12+4−10

14x3y2+x2+4x−10x14 x cubed y squared plus x squared plus 4 x minus 10 x

1432+2+4−10

Combine like terms

14x3y2+x2+4x−10x14 x cubed y squared plus x squared plus 4 x negative 10 x

1432+2+4−10

14x3y2+x2−6x14 x cubed y squared plus x squared negative 6 x

1432+2−6

6 more steps

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Solution

14x3y2+x2−6x14 x cubed y squared plus x squared minus 6 x

ans:1432+2−6

User Derrick Zhang
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8.3k points