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

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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 "- = +#