Examples

x^{2} + 8 x + 16

$x^{2} + 8 x + 16$

Step 1

Rewrite

16

$16$ as

4^{2}

$4^{2}$ .

x^{2} + 8 x + 4^{2}

$x^{2} + 8 x + 4^{2}$

Step 2

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

8 x = 2 \cdot x \cdot 4

$8 x = 2 \cdot x \cdot 4$

Step 3

Rewrite the polynomial.

x^{2} + 2 \cdot x \cdot 4 + 4^{2}

$x^{2} + 2 \cdot x \cdot 4 + 4^{2}$

Step 4

Factor using the perfect square trinomial rule

a^{2} + 2 a b + b^{2} = {(a + b)}^{2}

$a^{2} + 2 a b + b^{2} = {(a + b)}^{2}$ , where

a = x

$a = x$ and

b = 4

$b = 4$ .

{(x + 4)}^{2}

${(x + 4)}^{2}$

Enter YOUR Problem