QuestionDistribute and simplify using the box method: $(-3x + 3)(2x - 1)$ .

Studdy Solution

STEP 1

Assumptions1. We are given the expression $(-3x+3)(x-1)$ . We are to use the box method to distribute and simplify this expression

STEP 2

The box method involves drawing a box and dividing it into four sections. Each term in the first binomial will form a row, and each term in the second binomial will form a column.
\begin{tabular}{|c|c|} \hline-x & \\ \hline2x & -1 \\ \hline\end{tabular}

STEP 3

Next, we multiply the term in each row by the term in each column and write the result in the corresponding box.
\begin{tabular}{|c|c|} \hline-3x 2x & -3x -1 \\ \hline3 2x &3 -1 \\ \hline\end{tabular}

STEP 4

Perform the multiplication in each box.
\begin{tabular}{|c|c|} \hline-6x^2 &3x \\ \hline6x & -3 \\ \hline\end{tabular}

STEP 5

Finally, we add up all the terms in the boxes to get the simplified form of the expression.
$-x^2 +3x +x -3$

STEP 6

Combine like terms.
$-6x^2 +9x -3$ So, the simplified form of the expression $(-3x+3)(2x-1)$ using the box method is $-6x^2 +9x -3$ .

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QuestionDistribute and simplify using the box method: $(-3x + 3)(2x - 1)$ .

Studdy Solution

STEP 1

Assumptions1. We are given the expression $(-3x+3)(x-1)$ . We are to use the box method to distribute and simplify this expression

STEP 2

The box method involves drawing a box and dividing it into four sections. Each term in the first binomial will form a row, and each term in the second binomial will form a column.
\begin{tabular}{|c|c|} \hline-x & \\ \hline2x & -1 \\ \hline\end{tabular}

STEP 3

Next, we multiply the term in each row by the term in each column and write the result in the corresponding box.
\begin{tabular}{|c|c|} \hline-3x 2x & -3x -1 \\ \hline3 2x &3 -1 \\ \hline\end{tabular}

STEP 4

Perform the multiplication in each box.
\begin{tabular}{|c|c|} \hline-6x^2 &3x \\ \hline6x & -3 \\ \hline\end{tabular}

STEP 5

Finally, we add up all the terms in the boxes to get the simplified form of the expression.
$-x^2 +3x +x -3$

STEP 6

Combine like terms.
$-6x^2 +9x -3$ So, the simplified form of the expression $(-3x+3)(2x-1)$ using the box method is $-6x^2 +9x -3$ .

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QuestionDistribute and simplify using the box method: (−3x+3)(2x−1)(-3x + 3)(2x - 1)(−3x+3)(2x−1).

Studdy Solution

STEP 1

Assumptions1. We are given the expression (−3x+3)(x−1)(-3x+3)(x-1)(−3x+3)(x−1). We are to use the box method to distribute and simplify this expression

STEP 2

The box method involves drawing a box and dividing it into four sections. Each term in the first binomial will form a row, and each term in the second binomial will form a column.\begin{tabular}{|c|c|} \hline-x & \\ \hline2x & -1 \\ \hline\end{tabular}

STEP 3

Next, we multiply the term in each row by the term in each column and write the result in the corresponding box.\begin{tabular}{|c|c|} \hline-3x *2x & -3x * -1 \\ \hline3 *2x &3 * -1 \\ \hline\end{tabular}

STEP 4

Perform the multiplication in each box.\begin{tabular}{|c|c|} \hline-6x^2 &3x \\ \hline6x & -3 \\ \hline\end{tabular}

STEP 5

Finally, we add up all the terms in the boxes to get the simplified form of the expression.−x2+3x+x−3-x^2 +3x +x -3−x2+3x+x−3

STEP 6

Combine like terms.−6x2+9x−3-6x^2 +9x -3−6x2+9x−3So, the simplified form of the expression (−3x+3)(2x−1)(-3x+3)(2x-1)(−3x+3)(2x−1) using the box method is −6x2+9x−3-6x^2 +9x -3−6x2+9x−3.

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QuestionDistribute and simplify using the box method: $(-3x + 3)(2x - 1)$ .

Assumptions1. We are given the expression $(-3x+3)(x-1)$ . We are to use the box method to distribute and simplify this expression

The box method involves drawing a box and dividing it into four sections. Each term in the first binomial will form a row, and each term in the second binomial will form a column.
\begin{tabular}{|c|c|} \hline-x & \\ \hline2x & -1 \\ \hline\end{tabular}

Next, we multiply the term in each row by the term in each column and write the result in the corresponding box.
\begin{tabular}{|c|c|} \hline-3x 2x & -3x -1 \\ \hline3 2x &3 -1 \\ \hline\end{tabular}

Perform the multiplication in each box.
\begin{tabular}{|c|c|} \hline-6x^2 &3x \\ \hline6x & -3 \\ \hline\end{tabular}

Finally, we add up all the terms in the boxes to get the simplified form of the expression.
$-x^2 +3x +x -3$

Combine like terms.
$-6x^2 +9x -3$ So, the simplified form of the expression $(-3x+3)(2x-1)$ using the box method is $-6x^2 +9x -3$ .