Question

Factor the equation 25+10x+x^2

Answer 1

(x+5)(x+5)

Explanation:

Let's arrange it in a proper manner first of all.

• x² + 10x + 25

Step: Spilt 10x in order to factorize it.

x² + 10x + 25

0r, x² + 5x + 5x + 25

Step: Make two pairs from equation

x² + 5x + 5x + 25

0r, x(x+5) + 5(x+5)

Step: Take common thing from the given equation

x(x+5) + 5(x+5)

0r, (x+5)(x+5)

Hence, (x+5) and (x+5) are the factor for the given equation.

Answer 2

Step 1:

`25+10x+x^2`

Let's split split 10x to factorise

Step 2:

`= 25 + 5x + 5x + {x}^(2)`

Step 3:

`= 5(5 + x) + x(5 + x)`

Step 4:

`\green{= (5 + x)(5 + x)✓}`

________________________

Best regards!

★Dull Star★