Question

I'm so stuck rn.. AHHHHHHHHHHHHHH

Answer 1

Given:

5) The expressions are

7) The expression is

To find:

5) Whether the given expressions are equivalent.

7) simplified form of given expression.

Solution:

5)

First expression is

Second expression is

Third expression is

Therefore, the simplified forms of given expressions are respectively. It means only first and second expressions and equivalent.

7)

We have,

Therefore, the simplified form of given expression is .

Answer 2

Given:

5) The expressions are

`16x+24y+32`

`8(2x+3y+4)`

`4(4x+24y+8)`

7) The expression is

`7(3-x)+15x`

To find:

5) Whether the given expressions are equivalent.

7) simplified form of given expression.

Solution:

5)

First expression is

`16x+24y+32`

Second expression is

`8(2x+3y+4)`

`=8(2x)+8(3y)+8(4)`

`=16x+24y+32`

Third expression is

`4(4x+24y+8)`

`=4(4x)+4(24y)+4(8)`

`=16x+96y+32`

Therefore, the simplified forms of given expressions are
`16x+24y+32,\ 16x+24y+32,\ 16x+96y+32` respectively. It means only first and second expressions and equivalent.

7)

We have,

`7(3-x)+15x`

`=7(3)+7(-x)+15x`

`=21-7x+15x`

`=21+8x`

Therefore, the simplified form of given expression is
`21+8x`.