Simplify the expression: 2/3 divided by -4 minus (1/6 - 8/6)
1 answer:
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Step-by-step explanation:
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Let us analyze each of the students expression and determine the correct one if there are any.
Chang expression after factoring: 4-3(3x+7)
In order to know whether chang's factorization is similar to the expression, we will expand and compare with the given expression as shown;
= 4-3(3x+7)
Open the parenthesis
= 4 - 3(3x)-3(7)
= 4 - 9x - 21
This shows that Chand expression is wrong.
Hence Chang expression <u>is not an equivalent expression </u>because <u>when -3 is factored out from the bracket, it supposed to leave a negative sign instead of positive.</u>
Benjamin expression after factoring: 4+3(3x+7)
In order to know whether Benjamin's factorization is similar to the expression, we will expand and compare with the given expression as shown;
= 4+3(3x+7)
Open the parenthesis
= 4 + 3(3x)+3(7)
= 4 +9x + 21
This shows that Benjamin expression is wrong.
Hence Benjamin expression <u>is not an equivalent expression </u>because <u>the positive values within the expression is supposed to be negative sign instead</u>
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Habib expression after factoring: 4+12x
The equation is obviously wrong and <u>not an equivalent expression </u>because the constant value 21 does not have a variable x and cannot be added to -9x according to what Habib did.
Given the expression
4 - 9x + 21
The correct simplification of the expression is as shown;
4 - 3(3x - 7)
<em>Note that when -3 is factored out, the sign inside the parenthesis also changes</em>
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