Question

factorize x^2 + 10x + 25​

Answer 1

Answer:

x^2+(5+5)x+25

x^2+5x+5x+25

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

(x+5)(x+5)

Step-by-step explanation:

Answer 2

Step-by-step explanation:

x2 + 10x + 25 = x2 + (5x + 5x) + 25

Now, since all of the individual terms are connected by addition, I can rearrange the parentheses to make it easier to think of the expression as two groups.

x2 + (5x + 5x) + 25 = (x2 + 5x) + (5x + 25)

Now we want to factor each of the groups in parentheses.

(x2 + 5x) = x(x+ 5) and (5x + 25) = 5(x + 5)

So each group has one factor of (x + 5).  That means we can use the distributive property in reverse, to combine the parts outside of the parentheses.

(x2 + 5x) + 5(x + 5) = x(x + 5) + 5(x + 5)

                              = (x + 5)(x + 5)

And that is the factored form of the expression.

Have a nice day ahead :)