Geometry help! PLEASE!?

Question

Write each expression without parentheses and shorten it as much as possible....

1. 2a+4(7+5a)

2. 4(3x+2)-5(7x+5)

3. x(x+5)

4. 2x+x(x+6)

Write in the simplest form.

1. 7r+3(6+2r)+9

2. 5(8y+4)+3(2y+9)

3. 2x^2+7x+3x+5

4. -6x^2+16x-7

I have about 20 more of these but these are the main ones I could not figure out for the life of me! Thanks!

Answer 1

1.  2a + 28 +5a : 7a + 28

2. 12x + 8 - 35x + 25 : 33 -23X

3. x^2 + 5x

4. 2x + x^2 + 6x : 8x + x^2

--

1. 27 +13r

2. 46y +47

3. 5 +10x + 2x^2

4. -7 + 16x + -6x^2

on nubmers 1 and 2 and 4 i simplified it after the ':'

Answer 2

1. 2a+4(7+5a)

2a + 28 + 20a

22a + 28

2. 4(3x+2)-5(7x+5)

12x + 8 - 35x -25

-23x -17

3. x(x+5)

x² + 5x

4. 2x+x(x+6)

2x + x² + 6x

x² + 8x

Write in the simplest form.

1. 7r+3(6+2r)+9

7r + 18 + 6r + 9

13r + 27

2. 5(8y+4)+3(2y+9)

40y + 20 + 6y + 27

46y + 47

3. 2x^2+7x+3x+5

2x² + 10x + 5

4. -6x^2+16x-7

-6x² + 16x - 7

Answer 3

1.)  2a+28+20a (distribute the 4 inside parentheses).

      22a+28 (combine like factors)

2.) 12x+8-(35x+25)

     12x+8-35x-25

     -23x-17

3.)  x^2+5x

4.)  2x+x^2+6x

     x^2+8x

      

Answer 4

1.  22a+28 just use the distributive property and then add the like terms.

2. -23x+33

3.x(x+5)= x^2+5x

4.8x+x^2

1.13r+27

2. 46y+47

3. 2x^2+10x+5

the last one is already the simplest form.