Question

Factor
625-(k-5)^2

Answer 1

clue: \(625=25^2\)

Answer 2

\(a^2-b^2=(a+b)(a-b)\)

Answer 3

√625 = 25
√25k^2=5k

(25+5k)(25-5k)

@baru like that?

Answer 4

\(625-(k-5)^2\\25^2-(k-5)^2\\now ~use ~the~formula~ i~gave\\(25+k-5)(25-k+5)\\(20+k)(30-k)\)

Answer 5

how did 625 turn into 25?

Answer 6

625 turned into \(25^2\)

Answer 7

because \(25 \times 25 =625\)

Answer 8

which step exactly is confusing you?

Answer 9

@shelby1290

Answer 10

oh i was thinking that you got 25 from doing 625 divided by 25 and then somehow you carried over the power of 2

Answer 11

i just re-wrote 625 as \(25^2\) so that i can use the formula \(a^2-b^2=(a+b)(a-b)\)

i substituted
a=25
b=k-5

Answer 12

ahhhhh okay i see!