Question

Sharina simplified the expression 3(2x – 6 – x 1)2 – 2 4x. in step 1 she simplified within the parentheses. in step 2 she expanded the exponent. a table titled sharina's work with 1 column and 4 rows. the column is labeled 3(2 x minus 6 minus x 1) squared minus 2 4 x. the first row has entry 3(x minus 5) squared minus 2 4 x. the second row has entry 3(x squared minus 10 x 25) minus 2 4x. rows 3 and 4 are blank. which is a possible next step? simplify the expression by adding and subtracting from left to right. combine like terms within the parentheses. combine all x-terms. distribute the 3 to each term in the parentheses by multiplying.

Answer 1

The work for the possible next step which Sharina need to do is to distribute the 3 to each term in the parentheses by multiplying.

How to simplify an equation?

Simplified form of a term is the simplest way of expression the term, by applying the required operations of mathematics. To simplify the equation, the BODMOS method is used.

Sharina simplified the expression 3(2x – 6 – x 1)2 – 2 4x.

• Step 1- She simplified within the parentheses.

• Step 2-She expanded the exponent.

The table of Sharina's work

• $3(2x -6-x +1)^2 -2+ 4x$
• $3(x -5)^2 -2 +4x.$
• $3(x^2 - 10x +25) -2 +4x.$

In this table, rows 3 and 4 are blank. The next term to be filled in the 3rd row. The equation solved by her in the second row is,

$3(x^2 - 10x +25) -2 +4x.$

According to the rule of BODMAS, she first has to open the bracket by distribute the 3 to each term in the parentheses by multiplying.

Hence, the work for the possible next step which Sharina need to do is to distribute the 3 to each term in the parentheses by multiplying.

Learn more about the simplified form here;

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