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.