Question

factorise the following expressions 1+a+ac+a²c​

Answer 1

Solution:

1 + a + ac + a2c

= (1 + a) + (ac + a2c)

= (1 + a) + ac (1 + a)

= (1 + a) (1 +ac)

Answer 2

The given expression is:

$1+a+ac+a^2c$

We have to factorize the given expression.

Solution:

$1+a+ac+a^2c$

= $1(1+a)+ac(1+a)$

= (1 + a)(1 + ac)

∴ $1+a+ac+a^2c$ = (1 + a)(1 + ac)

Thus, the factorization of given expression is "(1 + a)(1 + ac)".