Question

splitting of middle term
${x}^{2} + 10x + 25 = 0$
​

Answer 1

The factors are (x + 5)².

Step-by-step explanation:

The expression is: $x^{2}+10x+25$

Compute the factors by splitting the middle term as follows:

$x^{2}+10x+25=x^{2}+5x+5x+25$

                      $=x(x+5)+5(x+5)\\=(x+5)(x+5)\\=(x+5)^{2}$

Thus, the factors are (x + 5)².

Learn more:

https://brainly.in/question/8512133

Answer 2

x²+10x+25 = x² + 5x + 5x + 25

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

= (x+5)(x+5)

Hence, x²+10x+25 = (x+5)²

Hope this is helpful to you

Pls mark as brainliest

Follow me and I'll follow you back