Algebra Examples

$9 x + 6 y + 3 m x + 2 m y + 3 p x + 2 p y$

Step 1

Regroup terms.

$9 x + 3 m x + 3 p x + 6 y + 2 m y + 2 p y$

Step 2

Factor $3 x$ out of $9 x + 3 m x + 3 p x$ .

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Step 2.1

Factor $3 x$ out of $9 x$ .

$3 x (3) + 3 m x + 3 p x + 6 y + 2 m y + 2 p y$

Step 2.2

Factor $3 x$ out of $3 m x$ .

$3 x (3) + 3 x (m) + 3 p x + 6 y + 2 m y + 2 p y$

Step 2.3

Factor $3 x$ out of $3 p x$ .

$3 x (3) + 3 x (m) + 3 x (p) + 6 y + 2 m y + 2 p y$

Step 2.4

Factor $3 x$ out of $3 x (3) + 3 x (m)$ .

$3 x (3 + m) + 3 x (p) + 6 y + 2 m y + 2 p y$

Step 2.5

Factor $3 x$ out of $3 x (3 + m) + 3 x (p)$ .

$3 x (3 + m + p) + 6 y + 2 m y + 2 p y$

Step 3

Factor $2 y$ out of $6 y + 2 m y + 2 p y$ .

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Step 3.1

Factor $2 y$ out of $6 y$ .

$3 x (3 + m + p) + 2 y (3) + 2 m y + 2 p y$

Step 3.2

Factor $2 y$ out of $2 m y$ .

$3 x (3 + m + p) + 2 y (3) + 2 y (m) + 2 p y$

Step 3.3

Factor $2 y$ out of $2 p y$ .

$3 x (3 + m + p) + 2 y (3) + 2 y (m) + 2 y (p)$

Step 3.4

Factor $2 y$ out of $2 y (3) + 2 y (m)$ .

$3 x (3 + m + p) + 2 y (3 + m) + 2 y (p)$

Step 3.5

Factor $2 y$ out of $2 y (3 + m) + 2 y (p)$ .

$3 x (3 + m + p) + 2 y (3 + m + p)$

Step 4

Factor $3 + m + p$ out of $3 x (3 + m + p) + 2 y (3 + m + p)$ .

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Step 4.1

Factor $3 + m + p$ out of $3 x (3 + m + p)$ .

$(3 + m + p) (3 x) + 2 y (3 + m + p)$

Step 4.2

Factor $3 + m + p$ out of $2 y (3 + m + p)$ .

$(3 + m + p) (3 x) + (3 + m + p) (2 y)$

Step 4.3

Factor $3 + m + p$ out of $(3 + m + p) (3 x) + (3 + m + p) (2 y)$ .

$(3 + m + p) (3 x + 2 y)$