الرياضيات المتناهية الأمثلة

$[\begin{array}{c} a + 2 & 9 z + 1 & 12 m \\ 8 k & 2 & 0 \end{array}] + [\begin{array}{c} 12 a & 10 z & 3 m \\ 9 k & 5 & 5 \end{array}] + [\begin{array}{c} 28 & - 37 & 150 \\ 34 & 7 & 5 \end{array}]$

Step 1

اجمع العناصر المتناظرة.

$[\begin{array}{c} a + 2 + 12 a & 9 z + 1 + 10 z & 12 m + 3 m \\ 8 k + 9 k & 2 + 5 & 0 + 5 \end{array}] + [\begin{array}{c} 28 & - 37 & 150 \\ 34 & 7 & 5 \end{array}]$

Step 2

Simplify each element.

انقر لعرض المزيد من الخطوات...

أضف $a$ و $12 a$ .

$[\begin{array}{c} 13 a + 2 & 9 z + 1 + 10 z & 12 m + 3 m \\ 8 k + 9 k & 2 + 5 & 0 + 5 \end{array}] + [\begin{array}{c} 28 & - 37 & 150 \\ 34 & 7 & 5 \end{array}]$

أضف $9 z$ و $10 z$ .

$[\begin{array}{c} 13 a + 2 & 19 z + 1 & 12 m + 3 m \\ 8 k + 9 k & 2 + 5 & 0 + 5 \end{array}] + [\begin{array}{c} 28 & - 37 & 150 \\ 34 & 7 & 5 \end{array}]$

أضف $12 m$ و $3 m$ .

$[\begin{array}{c} 13 a + 2 & 19 z + 1 & 15 m \\ 8 k + 9 k & 2 + 5 & 0 + 5 \end{array}] + [\begin{array}{c} 28 & - 37 & 150 \\ 34 & 7 & 5 \end{array}]$

أضف $8 k$ و $9 k$ .

$[\begin{array}{c} 13 a + 2 & 19 z + 1 & 15 m \\ 17 k & 2 + 5 & 0 + 5 \end{array}] + [\begin{array}{c} 28 & - 37 & 150 \\ 34 & 7 & 5 \end{array}]$

أضف $2$ و $5$ .

$[\begin{array}{c} 13 a + 2 & 19 z + 1 & 15 m \\ 17 k & 7 & 0 + 5 \end{array}] + [\begin{array}{c} 28 & - 37 & 150 \\ 34 & 7 & 5 \end{array}]$

أضف $0$ و $5$ .

$[\begin{array}{c} 13 a + 2 & 19 z + 1 & 15 m \\ 17 k & 7 & 5 \end{array}] + [\begin{array}{c} 28 & - 37 & 150 \\ 34 & 7 & 5 \end{array}]$

Step 3

اجمع العناصر المتناظرة.

$[\begin{array}{c} 13 a + 2 + 28 & 19 z + 1 - 37 & 15 m + 150 \\ 17 k + 34 & 7 + 7 & 5 + 5 \end{array}]$

Step 4

Simplify each element.

انقر لعرض المزيد من الخطوات...

أضف $2$ و $28$ .

$[\begin{array}{c} 13 a + 30 & 19 z + 1 - 37 & 15 m + 150 \\ 17 k + 34 & 7 + 7 & 5 + 5 \end{array}]$

اطرح $37$ من $1$ .

$[\begin{array}{c} 13 a + 30 & 19 z - 36 & 15 m + 150 \\ 17 k + 34 & 7 + 7 & 5 + 5 \end{array}]$

أضف $7$ و $7$ .

$[\begin{array}{c} 13 a + 30 & 19 z - 36 & 15 m + 150 \\ 17 k + 34 & 14 & 5 + 5 \end{array}]$

أضف $5$ و $5$ .

$[\begin{array}{c} 13 a + 30 & 19 z - 36 & 15 m + 150 \\ 17 k + 34 & 14 & 10 \end{array}]$