Question

A-(a-(a-4)) 7x*((y-x)+3y) 4y-(3y+(2y(y+1))) 5c-(2c-((b-c)-2b))

Answer 1

A-(a-(a-4))=a-(a-a+4)=a-a+a-4=a-4
7x*((y-x)+3y)=7x(4y-x)=28xy-7x³
4y-(3y+(2y(y+1)))=4y-(3y+2y²+2y)=
4y-3y-2y²-2y=-2y²-y
5c-(2c-((b-c)-2b))=5c-(2c-b+c-2b)=
5c-2c+b-c+2b=2c+3b

Answer 2

Let's simplify each of the expressions one by one:

1. A-(a-(a-4))

   First, let's simplify the expression inside the parentheses:

   a - (a-4) = a - a + 4 = 4

   Now we can substitute that value back into the original expression:

   A - 4

   This is the simplest form we can get to without knowing the values of A or a.

2. 7x*((y-x)+3y)

   Let's simplify the expression inside the parentheses first:

   (y-x)+3y = y - x + 3y = 4y - x

   Now we can substitute that value back into the original expression:

   7x * (4y - x)

   We can distribute the 7x to get:

   28xy - 7x^2

   This is the simplest form we can get to.

3. 4y-(3y+(2y(y+1)))

   Let's simplify the expression inside the parentheses first:

   2y(y+1) = 2y^2 + 2y

   Now we can substitute that value back into the original expression:

   4y - (3y + 2y^2 + 2y)

   We can combine like terms to get:

   4y - 5y - 2y^2

   Simplifying further, we get:

   -y - 2y^2

   This is the simplest form we can get to.

4. 5c-(2c-((b-c)-2b))

   Let's simplify the expression inside the parentheses first:

   (b-c)-2b = b - c - 2b = b - 2b - c = -b - c

   Now we can substitute that value back into the original expression:

   5c - (2c - (-b-c))

   We can simplify the expression inside the parentheses by distributing the negative sign:

   5c - (2c + (-b) + (-c))

   We can then combine like terms:

   5c - 2c - b - c

   Simplifying further, we get:

   2c - b

   This is the simplest form we can get to.