Removing Brackets Practice Question
Question 2
Remove the brackets and simplify the following expression.
Answer
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Step by Step Solutions
Step 1
First, let's remove the brackets in -(5x -3).
Step 2
Multiply -1 and -3
together. You will get -5x. Note that
"-" is the same as "-1"
Step 3
Now, multiply -1 and -3
together. You will get +3.
Step 4
Put back -5x +3 into the expression.
Next, we remove the brackets in 2(4x -2).
Step 5
Now, multiply 2 and 4x
together. You will get +8x.
Step 6
Now, multiply 2 and -2
together. You will get -4.
Step 7
Put back 8x -4 into the expression. The expression now becomes:
Notice that this expression has like
terms. Therefore, let's arrange the like
terms together. The expression now becomes:
Step 8
Now, simplify the expression by adding
+3 and -4. You will get -1.
Step 9
Now, simplify the expression by adding
+8x and -5x. You will get 3x.
Step 10
The expression becomes 3x-1. There is no more like terms, therefore this is the
simplest expression. Clearly, the answer
is C.
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