Question

what is the factor of x2-10x+25

Answer 1

Make the factors of 25..
Can you do it??

Answer 2

5x5=25

Answer 3

Yes you have done half the part..

Now we should want the sum = -10

so by 5 and 5 how will you make it -10 by adding??

Answer 4

i dont know

Answer 5

See, what is the result if I add -5 with -5??

Answer 6

-10

Answer 7

and what is the factor

Answer 8

Yes you got it..

So -5 -5 are the two numbers..

Expression is:

\[x^2 - 10x +25\]

Now split -10x according to the two numbers calculated..

Answer 9

See like this:

\[x^2 - 10x + 25 = x^2 -5x - 5x + 25\]

Now take x common..

Answer 10

-5+-5is equal to -10
so what is the answer

Answer 11

Take the common from that expression that i have written above..

See,
what will you take common in:
\[x^2 - 5x\]

Answer 12

the 5

Answer 13

how can you take 5??

\[x^2 - 5x -5x + 25 = x(x-5)-5(x-5) = (x-5)(x-5)\]