Algebra Examples

$k^{2} + (2 k + 1)$

Step 1

Remove parentheses.

$k^{2} + 2 k + 1$

Step 2

Factor using the perfect square rule.

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Step 2.1

Rewrite $1$ as $1^{2}$ .

$k^{2} + 2 k + 1^{2}$

Step 2.2

Check that the middle term is two times the product of the numbers being squared in the first term and third term.

$2 k = 2 \cdot k \cdot 1$

Step 2.3

Rewrite the polynomial.

$k^{2} + 2 \cdot k \cdot 1 + 1^{2}$

Step 2.4

Factor using the perfect square trinomial rule $a^{2} + 2 a b + b^{2} = {(a + b)}^{2}$ , where $a = k$ and $b = 1$ .

${(k + 1)}^{2}$