Algebra Examples

${(x - 3)}^{2} {(2 x + 1)}^{3} + {(x - 3)}^{3} {(2 x + 1)}^{2}$

Step 1

Factor ${(x - 3)}^{2} {(2 x + 1)}^{2}$ out of ${(x - 3)}^{2} {(2 x + 1)}^{3} + {(x - 3)}^{3} {(2 x + 1)}^{2}$ .

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Step 1.1

Factor ${(x - 3)}^{2} {(2 x + 1)}^{2}$ out of ${(x - 3)}^{2} {(2 x + 1)}^{3}$ .

${(x - 3)}^{2} {(2 x + 1)}^{2} (2 x + 1) + {(x - 3)}^{3} {(2 x + 1)}^{2}$

Step 1.2

Factor ${(x - 3)}^{2} {(2 x + 1)}^{2}$ out of ${(x - 3)}^{3} {(2 x + 1)}^{2}$ .

${(x - 3)}^{2} {(2 x + 1)}^{2} (2 x + 1) + {(x - 3)}^{2} {(2 x + 1)}^{2} (x - 3)$

Step 1.3

Factor ${(x - 3)}^{2} {(2 x + 1)}^{2}$ out of ${(x - 3)}^{2} {(2 x + 1)}^{2} (2 x + 1) + {(x - 3)}^{2} {(2 x + 1)}^{2} (x - 3)$ .

${(x - 3)}^{2} {(2 x + 1)}^{2} (2 x + 1 + x - 3)$

Step 2

Add $2 x$ and $x$ .

${(x - 3)}^{2} {(2 x + 1)}^{2} (3 x + 1 - 3)$

Step 3

Subtract $3$ from $1$ .

${(x - 3)}^{2} {(2 x + 1)}^{2} (3 x - 2)$