Algebra Examples

${(x + 7)}^{2} + 2 y (x + 7) + y^{2}$

Step 1

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

$2 y (x + 7) = 2 \cdot (x + 7) \cdot y$

Step 2

Rewrite the polynomial.

${(x + 7)}^{2} + 2 \cdot (x + 7) \cdot y + y^{2}$

Step 3

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

${(x + 7 + y)}^{2}$