Question

Factorize
x² + 4x+16=​

Answer 1

Answer:

Simplifying

x2 + -4x + 16 = 0

Reorder the terms:

16 + -4x + x2 = 0

Solving

16 + -4x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-16' to each side of the equation.

16 + -4x + -16 + x2 = 0 + -16

Reorder the terms:

16 + -16 + -4x + x2 = 0 + -16

Combine like terms: 16 + -16 = 0

0 + -4x + x2 = 0 + -16

-4x + x2 = 0 + -16

Combine like terms: 0 + -16 = -16

-4x + x2 = -16

The x term is -4x. Take half its coefficient (-2).

Square it (4) and add it to both sides.

Add '4' to each side of the equation.

-4x + 4 + x2 = -16 + 4

Reorder the terms:

4 + -4x + x2 = -16 + 4

Combine like terms: -16 + 4 = -12

4 + -4x + x2 = -12

Factor a perfect square on the left side:

(x + -2)(x + -2) = -12

Can't calculate square root of the right side.

The solution to this equation could not be determined.

Answer 2

Step-by-step explanation:

hope it would be helpful to you ☺️☺️☺️