Solve for x

x² + 10x + 25

Hi,

Answer: (x+5) ^2

My work: For this problem can be easily achieved by factoring your terms. To do this you figure out what can go into 10x and 25 which is 5. From the there you take x^2 and 10x and see what can take out which would be x. Your answer would be (x + 5) ^2 or (x + 5) (x + 5). This can be done in 2 easy steps!

Numerical work:

1. x^2 10x + 25

Before this step figure out what goes into you equation.

2. (X + 5) ^2 or (X+5) (X + 5)

Let's factor x2+10x+25

x2+10x+25

The middle number is 10 and the last number is 25.

Factoring means we want something like

(x+_) (x+_)

Which numbers go in the blanks?

We need two numbers that ...

Add together to get 10

Multiply together to get 25

Can you think of the two numbers?

Try 5 and 5:

5+5 = 10

5*5 = 25

Fill in the blanks in

(x+_) (x+_)

with 5 and 5 to get ...

(x+5) (x+5)

Answer:

(x+5) (x+5)