Algebra Examples

$w^{2} - 14 w + 49$

Step 1

Rewrite $49$ as $7^{2}$ .

$w^{2} - 14 w + 7^{2}$

Step 2

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

$14 w = 2 \cdot w \cdot 7$

Step 3

Rewrite the polynomial.

$w^{2} - 2 \cdot w \cdot 7 + 7^{2}$

Step 4

Factor using the perfect square trinomial rule $a^{2} - 2 a b + b^{2} = {(a - b)}^{2}$ , where $a = w$ and $b = 7$ .

${(w - 7)}^{2}$