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

Question

29911 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-19T12:30:47

$(x-5)^2$

Given: $x^2-10x+25$

Split the middle term.

$=x^2-5x-5x+25$

$=x(x-5)-5(x-5)$

$=(x-5)(x-5)$

$=(x-5)^2$

Answer 2 · 2018-04-19T12:33:54

$(x - 5 )(x - 5)$

Find what multiplies to give $25$ and adds/subtracts to make $-10$ .

$25$ and $1$ make $25$ but do not add together to make $-10$ .

$5 " and " 5$ add to make $10$ and multiply to make $25$ to make $-10$ and $25$ , the you can multiply and add $-5$ and $-5$

Because:

$- " x "- = +$

How do you factor x^2-10x+25x^2-10x+25?