Question

factorise the following
expression 2pq+10p+5q+25​

Answer 1

Answer:

= 2p(1q+5)+5(1q+5)

= (2p+5) (1q+5)

Answer 2

Given : 2pq+10p+5q+25​

To Find : factorize

Solution:

2pq+10p+5q+25​

Take 2p common from 1st two terms

and  5 common from last two terms

= 2p ( q + 5)  + 5(q + 5)

Take (q + 5) common from both terms

= (q + 5) (2p + 5)

Hence  2pq+10p+5q+25​ =  (q + 5) (2p + 5)

Factorization is a process of finding two or more expressions/numbers ( called factors) whose product is equal to given expression/numbers.

"Prime Factorization" is finding prime numbers/factors which when multiplied together results in the original number.

Prime factorization for numbers and irreducible factors for algebraic expression are similar things.

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