skeetmcyeet skeetmcyeet
  • 03-11-2020
  • Mathematics
contestada

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

Respuesta :

erinna erinna
  • 09-11-2020

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.

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