Algebra Examples

$(5 r - 6) (r + 3) - (2 r - 1) (r + 3)$

Step 1

Factor $r + 3$ out of $(5 r - 6) (r + 3) - (2 r - 1) (r + 3)$ .

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Step 1.1

Factor $r + 3$ out of $(5 r - 6) (r + 3)$ .

$(r + 3) (5 r - 6) - (2 r - 1) (r + 3)$

Step 1.2

Factor $r + 3$ out of $- (2 r - 1) (r + 3)$ .

$(r + 3) (5 r - 6) + (r + 3) (- (2 r - 1))$

Step 1.3

Factor $r + 3$ out of $(r + 3) (5 r - 6) + (r + 3) (- (2 r - 1))$ .

$(r + 3) (5 r - 6 - (2 r - 1))$

Step 2

Apply the distributive property.

$(r + 3) (5 r - 6 - (2 r) - - 1)$

Step 3

Multiply $2$ by $- 1$ .

$(r + 3) (5 r - 6 - 2 r - - 1)$

Step 4

Multiply $- 1$ by $- 1$ .

$(r + 3) (5 r - 6 - 2 r + 1)$

Step 5

Subtract $2 r$ from $5 r$ .

$(r + 3) (3 r - 6 + 1)$

Step 6

Add $- 6$ and $1$ .

$(r + 3) (3 r - 5)$