Question

If the expression ax(4x − 2y − 3) simplifies to 24x^2− 12xy − 18, what must be the value of a?

Answer 1

Given:

Consider the expression $ax(4x-2y-3)$ simplifies to $24x^2-12xy-18x$.

To find:

The value of a.

Solution:

We have,

$ax(4x-2y-3)=24x^2-12xy-18x$

Using distributive property, we get

$4ax^2-2axy-3ax=24x^2-12xy-18x$

On comparing the coefficients of $x^2$ from both sides, we get

$4a=24$

$\Rightarrow a=6$

Therefore, the value of a is 6.