Question

a^2 + 12a + 20 factorize the following by completing squares​

Answer 1

Answer:

Subtract  20  from both sides of the equation.

a ² + 12 a = − 20

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of  

$(\frac{b}{2} )\x^{2}$= ( 6 ) ²

Add the term to each side of the equation.

a ² + 12 a + ( 6 ) ² = − 20 + ( 6 ) ²

Simplify the equation.

a ² + 12 a + 36 = 16

Factor the perfect trinomial square into  ( a + 6 ) ²

(a + 6 ) ²= 16

Solve the equation for  a

a = − 2 ,− 10