Question

abx^2+a^2x+b^2x+ab, factorise

Answer 1

hey mate here is your answer ✌⛄

abx²+a²x+b²x+ab

so...

ax(bx+a)+b(bx+a)

(bx+a)(ax+b)

so factors can be

X=-a/b

or

X=-b/a

hope it will help you

mark me brainliest ✌✌✌✌

Answer 2

The answer to the factorisation is, (bx+a) (ax+b)

Given : The algebraic expression is, abx^2+a^2x+b^2x+ab

To find : The factorisation of the given algebraic expression.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to factorise the given algebraic expression)

Here, we will be using general algebraic method.

Actual algebraic expression = abx²+a²x+b²x+ab

So,

= abx²+a²x+b²x+ab

= ax (bx + a) + b (bx + a)

= (bx+a) (ax+b)

(This cannot be further factorised. That's why, this will be considered as the final result.)

Hence, the answer to the factorisation is, (bx+a) (ax+b)