7ab – 5a – 28b + 20 plz tell answer
Answers
Answer:
(a-4) (7b-5)
Step-by-step explanation:
=(7ab-28b)-(5a-20)
=7b(a-4) -5(a-4)
=(a-4) (7b-5)
Always exhxange the variables looking at what can be divided by what, in this example, I switched -28b to 7ab because 1) 28 is divisible by 7 and 2) because they have atleast 1 same variable. In the other bracket, 20 is divisible by 5. In these types of questions, the 1st bracket must always have 2 varibles with 1 being divisible by the other and atleast 1 same variable. And in the 2nd bracket you must get atleast 1 number divisible by the other and the answer in the 2nd bracket must be the same as the 1st bracket. Hope this helps a lot
Given:
7ab - 5a -28b +20
To find :
Solve 7ab -5a -28b +20
Solution;
Factorization means when we break a never down into smaller numbers Multiplied together, we get an original number.
When a number is split into it's factors or divisors , it is called as factorization.
For example factors or divisors of 10 are 1, 2 and 5.
7ab -5a -28b +20
7 is divisor of 28.
5 is divisor of 20
hence putting the terms together
(7ab - 28 b ) + ( - 5a +20)
factorising the terms
( 7 x a x b ) - ( 7x 4 x b ) + ( - 5 x a + 5 x4)
taking common terms
7 b ( a - 4) - 5 ( a - 4)
( 7b -5) (a -4)
7ab -5a -28b +20 = ( 7b -5) (a -4)