Question

$factorise \: the \: following$
${ab}^{2} + ab + b + 1$
​

Answer 1

Given question -:

factorise

${ab}^{2} + ab + b + 1$

let's try to solve the question

${ab}^{2} + ab + b + 1 = 0$

$ab \: (b + 1) + 1 \: (b + 1) = 0$

$(ab + 1) \: (b + 1) = 0$

Hope this will help you

Thank you...

Answer 2

Given:

$ab^{2} + ab+ b +1$

To Find:

Factorize the following

$ab^{2} + ab+ b +1$

Solution:

Given, $ab^{2} + ab+ b +1$

Now, $ab^{2} + ab+ b +1 = ab(b+1) +1(b+1) = (ab+1)(b+1)$

Therefore, $ab^{2} + ab+ b +1$ $= (ab+1)(b+1)$