Question

Add or subtract the following polynomials.

1. 7x-(4xy+12xy)-2
2. (5bc)-(5+bc)
3. 7+(2x-5x)+y
4. 6x+10+[3x-6x]
5. 3x²y-(5x²y)

With solutions pls

Answer 1

Answer 1:

7x-16xy-2

Answer 2:

4bc-5

Answer 3:

7-3x+y

Answer 4:

3x+10

Answer 5:

-2x²y

Solving Solutions Question #1

*Remove the parentheses for addition or subtraction*

`7x-\left(4xy+12xy\right)-2`

*Determine the sign*

`7x-4xy-12xy-2`

*Reorder and gather like terms*

`7x+\left(-4xy-12xy\right)-2`

*Collect coefficients of like terms*

`7x+\left(-4-12\right)*xy-2`

*Calculate the sum or difference*

`7x-16xy-2`

Solving Solutions Question #2

*Simplify or expand*

`5bc-\left(5+bc\right)`

*Remove the parentheses for addition or subtraction*

`5bc-5-bc`

*Reorder and gather like terms*

`\left(5bc-bc\right)-5`

*Collect coefficients of like terms*

`\left(5-1\right)`
`*`
`bc-5`

*Collect the sum or difference*

`4bc-5`

Solving Solution Question #3

*Simplify or expand*

`7+(2x-5x)+y`

*Determine the sign*

`7+2x-5x+y`

*Reorder and gather like terms*

`7+\left(2x-5x\right)+y`

*Collect coefficients of like terms*

`7+\left(2-5\right)*x`
`*`
`x+y`

*Calculate the sum or difference*

`7-3x+y`

Solving Solution Question #4

*Simplify or expand*

`6x+10+(3x-6x)`

*Determine the sign*

`6x+10+3x-6x`

*Reorder and gather like terms*

`(6x+3x-6x)+10`

*Collect coefficients of like terms*

`(6+3-6)` ×
`x+10`

*Apply the Inverse Property of Addition*

`3x+10`

Solving Solution #5

*Simplify or expand*

`3x^(2) y-5x^(2) y`

*Collect coefficients of like terms*

`(3-5)x^(2) y`

*Calculate the sum or difference*

`-2x^(2) y`

I hope this helps you:)