Question

The factors of 5p^2 - 25p + 20​

Answer 1

Answer:

(5p-20) or 5(p-4) and (p-1)

Step-by-step explanation:

5$p^{2}$-25p+20

can be written as: 5$p^{2}$-5p-20p+20

by taking common 5p in first two terms we get:

5p(p-1)

and similarly for -20p+20

we get: -20(p-1)

so by combining we get:

5p(p-1)-20(p-1)

i.e, (5p-20) and (p-1)

and, (5p-20) can also be written as: 5(p-4)

Answer 2

Answer:

Factors of   $5p^{2} -25 p + 20$ are  $( p-4 ) (5p -5 )$ .

Step-by-step explanation:

To factors of  : $5p^{2} -25 p + 20$

Solution :

• According to question we are asked to find factors of  the given expression . We find factors by splitting the middle term of the expression .

• We spilt the middle term such that product of the numbers is last term and sum or difference of those numbers is middle term.
• Here, $-25p$ is the middle term and by multiplying the constants of first and last term we get , $100$ as last term .  

         $5p^{2} -25 p + 20 \\\\= 5p^{2} - 20 p -5p + 20 \\\\= 5p ( p - 4 ) -5(p -4 )\\\\= ( p -4 ) ( 5p -5 )$

Note :

Question for above solution : Find the factors of $5p^{2} -25 p + 20$ .