How do you factor $x^{2} + 10 x + 25$ $x^ { 2} + 10x + 25$ ?

Question

1168 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-10-14T18:24:09

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

Find two numbers that add up to +10 and multiply to +25

To do this we can write multiples of +25

1,25
5,5
-1,-25
-5,-5

There is only one set here that adds to +10, which is 5,5

Therefore, we get $(x + 5) (x + 5)$ $(x+5)(x+5)$ or ${(x + 5)}^{2}$ $(x+5)^2$

How do you factor x^ { 2} + 10x + 25x2+10x+25x^ { 2} + 10x + 25?