Algebra 1 simplifying questions?

Question

1. 4[x-3(2-4x)]

2. 4x^2(x^2-3x+5) 

3. (3a+2b-c)-(5a-3c) 

4. (x^2-3x+1)+(x^2-6x-7) 

Please help me with these questions and be ver simple as I forgot a lot of this over summer.

Answer 1

(2)

The expression is .

Distribute terms using distributive property: .

   

The simplified expression is .

Answer 2

(3)

The expression is  .

The simplified expression is .

Answer 3

(4)

The expression is .

The simplified expression is .

Answer 4

(1)

The expression is .

Order of Operations:

To simplify the expression follow the order of operations: (PEMDAS)

1.      Evaluate the expressions inside the Parenthesis/Brackets (P).

2.      Evaluate Powers/Exponents (E).

3.      Multiply and/or Divide in order from left to right (MD).

4.      Add and/or Subtract in order from left to right (AS).

Evaluate the expression inside the Parenthesis.

Therefore first simplify the expression using the distributive property.

Distribute terms using distributive property: .

The simplified expression is .