Verified Answer :

Answer:

\(12y+12x\) or \(12(y+x)\)

Step-by-step explanation:

We have:

\(6(2(y+x))\)

We must begin to simplify from the innermost parenthesis of the expression, in this case we solve it by multiplying the elements of such parenthesis by the 2 outside.

\(6(2y+2x)\)

And now we only have one parenthesis to eliminate, we do this by multiplying the elements of the parenthesis by 6:

\(6*2y+6*2x\\=12y+12x\)

which can also be expressed as:

\(12(y+x)\)

The simplified form of the expression \(6\left[ {2\left( {x + y} \right)} \right]\) is \(\boxed{12x + 12y}.\)


Further explanation:

PEDMAS rule is use to solve the grouping of multiplication, addition, subtraction and division.


P denotes the parenthesis, E denotes the exponents, M denotes the multiplication, D denotes the division, A denotes the addition and S denotes the subtraction.


Given:

The expression is \(6\left[ {2\left( {x + y} \right)} \right].\)


Explanation:

The given expression is \(6\left[ {2\left( {x + y} \right)} \right].\)


First solve \(2\left( {y + x} \right).\)

\(\begin{aligned}A&= 2\left( {y + x} \right)\\&= 2y + 2x \\\end{aligned}\)


Now multiply \(6\) to \(2y + 2x.\)

\(6 \times \left( {2y + 2x} \right) = 12y + 12x\)


The simplified form of the expression \(6\left[ {2\left( {x + y} \right)} \right]\) is \(\boxed{12x + 12y}.\)


Learn more

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  3. Learn more about the product of binomial and trinomial https://brainly.com/question/1394854


Answer details:

Grade: High school

Subject: Mathematics

Chapter: Number system


Keywords: place value, base value, decimal expansion, whole number, natural number, division, multiplication, subtraction, solve the equation, solution, linear equation.

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