Answer:
[tex]12y+12x[/tex] or [tex]12(y+x)[/tex]
Step-by-step explanation:
We have:
[tex]6(2(y+x))[/tex]
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.
[tex]6(2y+2x)[/tex]
And now we only have one parenthesis to eliminate, we do this by multiplying the elements of the parenthesis by 6:
[tex]6*2y+6*2x\\=12y+12x[/tex]
which can also be expressed as:
[tex]12(y+x)[/tex]
The simplified form of the expression [tex]6\left[ {2\left( {x + y} \right)} \right][/tex] is [tex]\boxed{12x + 12y}.[/tex]
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 [tex]6\left[ {2\left( {x + y} \right)} \right].[/tex]
Explanation:
The given expression is [tex]6\left[ {2\left( {x + y} \right)} \right].[/tex]
First solve [tex]2\left( {y + x} \right).[/tex]
[tex]\begin{aligned}A&= 2\left( {y + x} \right)\\&= 2y + 2x \\\end{aligned}[/tex]
Now multiply [tex]6[/tex] to [tex]2y + 2x.[/tex]
[tex]6 \times \left( {2y + 2x} \right) = 12y + 12x[/tex]
The simplified form of the expression [tex]6\left[ {2\left( {x + y} \right)} \right][/tex] is [tex]\boxed{12x + 12y}.[/tex]
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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.
