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6. Write the expressions without brackets. Do not simplify.

(a) [tex]\(3x - (2y + z)\)[/tex]

(b) [tex]\(-x + 3(y - 2z)\)[/tex]

Sagot :

GinnyAnsweridn
Sure, let’s break down each expression step-by-step to remove the brackets:

### Part (a): [tex]\(3x - (2y + z)\)[/tex]

1. Start with the expression [tex]\(3x - (2y + z)\)[/tex].
2. Distribute the negative sign through the parentheses:
[tex]\[ 3x - 2y - z \][/tex]
3. The expression without brackets is:
[tex]\[ 3x - 2y - z \][/tex]

### Part (b): [tex]\(-x + 3(y - 2z)\)[/tex]

1. Start with the expression [tex]\(-x + 3(y - 2z)\)[/tex].
2. Distribute the [tex]\(3\)[/tex] through the parentheses:
[tex]\[ -x + 3y - 3 \cdot 2z \][/tex]
3. Simplify the multiplication inside the expression:
[tex]\[ -x + 3y - 6z \][/tex]
4. The expression without brackets is:
[tex]\[ -x + 3y - 6z \][/tex]

So, the final expressions with the brackets removed are:

(a) [tex]\(3x - 2y - z\)[/tex]
(b) [tex]\(-x + 3y - 6z\)[/tex]
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