Question

The factorisation of a(x+y+z) +b(x+y+z)+ c(x+y+z) is
a.) (a+b+c)(x+y+z)
b.) (ab+bc+ca)(x+y+z)
c.) (xy+yz+zx)(a+b+c)
d.) none of these ​

Answer 1

a(x + y + z) + b(x + y + z) + c(x + y + z)

(x + y + z)(a + b + c)

Answer 2

Given :   a(x+y+z)+b(x+y+z)+c(x+y+z)​

To Find : factorise

Solution:

Factorization" is finding factors which when multiplied together results in the original number.

a(x+y+z)+b(x+y+z)+c(x+y+z)​

Taking (x + y + z)  common from all three term

= (x + y + z)(a + b + c)

= (a + b + c)(x + y + z)

Hence

a(x+y+z)+b(x+y+z)+c(x+y+z)​ = (a + b + c)(x + y + z)

Correct option is  (a+b+c)(x+y+z)

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