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Add or subtract the following polynomials., 1. (6x\xb3-4)+(-2x\xb3 +9), 2. (x+5) + (2x + 4x\xb2 – 2), 3. (x\xb2+x)+(x\xb2-11), 4. (8x-4x\xb2)+(3x – 9x\xb2), 5. (2x\xb2 + 6x + 4) + (5x\xb2-7), 6. (3x\xb2-x+11)-(x\xb2+2x+8)

Written by Winona · 43 sec read >


Add or subtract the following polynomials.


1. (6x³-4)+(-2x³ +9)

2. (x+5) + (2x + 4x² – 2)

3. (x²+x)+(x²-11)

4. (8x-4x²)+(3x – 9x²)

5. (2x² + 6x + 4) + (5x²-7)

6. (3x²-x+11)-(x²+2x+8)​

✒️Expressions

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 \huge{\colorbox{black}{\color{lavender}{\tt{‡ANSWERS‡}}}}

→ 1.) \small\color{green}\boxed{4x³ +5}

→ 2.) \small\color{green}\boxed{4x² - x + 3}

→ 3.) \small\color{green}\boxed{2x² + x - 11}

→ 4.) \small\color{green}\boxed{11x - 13x²}

→ 5.) \small\color{green}\boxed{7x² + 6x - 3}

→ 6.) \small\color{green}\boxed{2x² - 3x + 3}

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 \large{\colorbox{black}{\color{gold}{\tt{♪Step\:by\:Step\:Solution♪}}}}

1.) Solution number 1. ↓

Step 1

Remove unnecessary parentheses

6{x}^{3}  - 4  +  (2 {x}^{3}  + 9)

When there is a + in front of expression in parentheses, the expression remains the same

6 {x}^{3}  - 4 - 2 {x}^{3}  + 9

Step 2

Collect like terms

4 {x}^{3}  - 4 + 9

Calculate the sum

4 {x}^{3} + 5

2.) Solution number 2.↓

Step 1

Remove unnecessary parentheses

x + 5 + ( - 2x + 4 {x}^{2}  - 2)

When there is a + in front of expression in parentheses, the expression remains the same

x + 5 - 2x + 4 {x}^{2}  - 2

Step 2

Collect like terms

 - x + 5 + 4 {x}^{2}  - 2

Subtract the numbers

 - x + 3 + 4 {x}^{2}

Step 3

Use the commutative property to reorder the terms

4 {x}^{2}  - x + 3

3.) Solution number 3.↓

Step 1

Remove unnecessary parentheses

 {x}^{2}  + x + ( {x}^{2}  - 11)

When there is a + in front of expression in parentheses, the expression remains the same

 {x}^{2}  + x +  {x}^{2}  - 11

Step 2

Collect like terms

2 {x}^{2}  + x - 11

4.) Solution number 4.

Step 1

Remove unnecessary parentheses

8x - 4 {x}^{2}  + (3x - 9 {x}^{2} )

When there is a + in front of expression in parentheses, the expression remains the same

8x - 4 {x}^{2}  + 3x - 9 {x}^{2}

Step 2

Collect like terms

11x - 4 {x}^{2}  - 9 {x}^{2}

Collect like terms

11x - 13 {x}^{2}

5.) Solution number 5.

Step 1

Remove unnecessary parentheses

2 {x}^{2}  + 6x + 4 + (5 {x}^{2}  - 7)

When there is a + in front of expression in parentheses, the expression remains the same

2 {x}^{2}  + 6x + 4 + 5 {x}^{2}  - 7

Step 2

Collect like terms

7 {x}^{2}  + 6x + 4  -  7

Calculate the difference

7 {x}^{2}  + 6x - 3

6.) Solution number 6.

Step 1

Remove unnecessary parentheses

3 {x}^{2}  - x + 11 - ( {x}^{2}  + 2x + 8)

When there is a – in front of an expression in parentheses, change the sign of each term of the expression and remove the parentheses

3 {x}^{2}  - x + 11 -  {x}^{2}  - 2x - 8

Step 2

Collect like terms

2 {x}^{2}  - x + 11 - 2x - 8

Collect like terms

2 {x}^{2}  - 3x + 11 - 8

Subtract the numbers

2 {x}^{2}  - 3x + 3

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^_^


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Winona in Education
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