Algebra Examples

${(9 x + 10)}^{2} - 4 x (9 x + 10)$

Step 1

Factor $9 x + 10$ out of ${(9 x + 10)}^{2} - 4 x (9 x + 10)$ .

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Step 1.1

Factor $9 x + 10$ out of ${(9 x + 10)}^{2}$ .

$(9 x + 10) (9 x + 10) - 4 x (9 x + 10)$

Step 1.2

Factor $9 x + 10$ out of $- 4 x (9 x + 10)$ .

$(9 x + 10) (9 x + 10) + (9 x + 10) (- 4 x)$

Step 1.3

Factor $9 x + 10$ out of $(9 x + 10) (9 x + 10) + (9 x + 10) (- 4 x)$ .

$(9 x + 10) (9 x + 10 - 4 x)$

Step 2

Subtract $4 x$ from $9 x$ .

$(9 x + 10) (5 x + 10)$

Step 3

Factor.

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Step 3.1

Factor $5$ out of $5 x + 10$ .

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Step 3.1.1

Factor $5$ out of $5 x$ .

$(9 x + 10) (5 (x) + 10)$

Step 3.1.2

Factor $5$ out of $10$ .

$(9 x + 10) (5 x + 5 \cdot 2)$

Step 3.1.3

Factor $5$ out of $5 x + 5 \cdot 2$ .

$(9 x + 10) (5 (x + 2))$

Step 3.2

Remove unnecessary parentheses.

$(9 x + 10) \cdot 5 (x + 2)$