Question

factorise ax²+(a-1)x-1​

Answer 1

Answer:

(ax-1)(x+1)

Step-by-step explanation:

ax^2+(a-1)x-1

ax^2+ax-x-1

ax(x+1)-1(x+1)

(ax-1)(x+1)

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Answer 2

Answer:

$\Huge \boxed{ax^2+ax-x-1}$

Step-by-step explanation:

To solve this problem, first you have to find the factors of $\displaystyle ax^2+(a-1)x-1$.

Remember to use distributive property of $\displaystyle a(b+c)=ab+ac$.

First, switch sides.

$\displaystyle ax^2+x(a-1)-1$

Next, expand and solve.

$\displaystyle x(a-1)=\boxed{ax-x}$

$\bigstar \large\boxed{\textnormal{Therefore, the correct answer is \boxed{ax^2+ax-x-1}}}}}.$