Question

I need help with equations five and six The topic of this lesson is to simplify algebraic expressions containing parentheses brackets and braces pls help

Answer 1

5. 3x - 2y - 4z + 2

6. 6d - c + 12

Explanation:

5.

2x - (y + 3z - [x + 3 - (2 + y) - 4] + [-3z - 5] + 4z)

Apply rules - (-a) = a and -(a) = -a

= 2x - (y + 3z - [x + 3 - 2 - y - 4] - 3z - 5 + 4z)

= 2x - (y + 3z - x - 3 + 2 + y + 4 - 3z - 5 + 4z)

Combine like terms in parentheses:

= 2x - (2y - x - 2 + 4z)

Apply rules - (-a) = a and -(a) = -a

= 2x - 2y + x + 2 - 4z

Combine like terms:

= 3x - 2y - 4z + 2

6.

d - [c + 3d - (d + 3) - 4 + (-3d - 5)] + 4d

Apply rules - (-a) = a and -(a) = -a

= d - [c + 3d - d - 3 - 4 - 3d - 5] + 4d

Combine like terms in parentheses:

= d - [c - d - 12] + 4d

Apply rules - (-a) = a and -(a) = -a

= d - c + d + 12 + 4d

Combine like terms:

= 6d - c + 12