Factor (7x-6)^2+x5(7x-6)7

${(7 x - 6)}^{2} + x \cdot 5 (7 x - 6) \cdot 7$

Step 1

Factor $7 x - 6$ out of ${(7 x - 6)}^{2} + x \cdot (5 (7 x - 6)) \cdot 7$ .

Factor $7 x - 6$ out of ${(7 x - 6)}^{2}$ .

$(7 x - 6) (7 x - 6) + x \cdot (5 (7 x - 6)) \cdot 7$

Factor $7 x - 6$ out of $x \cdot (5 (7 x - 6)) \cdot 7$ .

$(7 x - 6) (7 x - 6) + (7 x - 6) (x \cdot (5) \cdot 7)$

Factor $7 x - 6$ out of $(7 x - 6) (7 x - 6) + (7 x - 6) (x \cdot (5) \cdot 7)$ .

$(7 x - 6) (7 x - 6 + x \cdot (5) \cdot 7)$

$(7 x - 6) (7 x - 6 + x (5) \cdot 7)$

Step 2

Move $5$ to the left of $x$ .

$(7 x - 6) (7 x - 6 + 5 x \cdot 7)$

Step 3

Multiply $7$ by $5$ .

$(7 x - 6) (7 x - 6 + 35 x)$

Step 4

Add $7 x$ and $35 x$ .

$(7 x - 6) (42 x - 6)$

Step 5

Factor.

Factor $6$ out of $42 x - 6$ .

Factor $6$ out of $42 x$ .

$(7 x - 6) (6 (7 x) - 6)$

Factor $6$ out of $- 6$ .

$(7 x - 6) (6 (7 x) + 6 (- 1))$

Factor $6$ out of $6 (7 x) + 6 (- 1)$ .

$(7 x - 6) (6 (7 x - 1))$

Remove unnecessary parentheses.

$(7 x - 6) \cdot 6 (7 x - 1)$

Factor (7x-6)^2+x*5(7x-6)*7