Given:
Consider the expression [tex]ax(4x-2y-3)[/tex] simplifies to [tex]24x^2-12xy-18x[/tex].
To find:
The value of a.
Solution:
We have,
[tex]ax(4x-2y-3)=24x^2-12xy-18x[/tex]
Using distributive property, we get
[tex]4ax^2-2axy-3ax=24x^2-12xy-18x[/tex]
On comparing the coefficients of [tex]x^2[/tex] from both sides, we get
[tex]4a=24[/tex]
[tex]\Rightarrow a=6[/tex]
Therefore, the value of a is 6.
