Algebra Examples

${(5 x - 4)}^{2} + 3 x (5 x - 4)$

Step 1

Factor $5 x - 4$ out of ${(5 x - 4)}^{2} + 3 x (5 x - 4)$ .

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Step 1.1

Factor $5 x - 4$ out of ${(5 x - 4)}^{2}$ .

$(5 x - 4) (5 x - 4) + 3 x (5 x - 4)$

Step 1.2

Factor $5 x - 4$ out of $3 x (5 x - 4)$ .

$(5 x - 4) (5 x - 4) + (5 x - 4) (3 x)$

Step 1.3

Factor $5 x - 4$ out of $(5 x - 4) (5 x - 4) + (5 x - 4) (3 x)$ .

$(5 x - 4) (5 x - 4 + 3 x)$

Step 2

Add $5 x$ and $3 x$ .

$(5 x - 4) (8 x - 4)$

Step 3

Factor.

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Step 3.1

Factor $4$ out of $8 x - 4$ .

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Step 3.1.1

Factor $4$ out of $8 x$ .

$(5 x - 4) (4 (2 x) - 4)$

Step 3.1.2

Factor $4$ out of $- 4$ .

$(5 x - 4) (4 (2 x) + 4 (- 1))$

Step 3.1.3

Factor $4$ out of $4 (2 x) + 4 (- 1)$ .

$(5 x - 4) (4 (2 x - 1))$

Step 3.2

Remove unnecessary parentheses.

$(5 x - 4) \cdot 4 (2 x - 1)$