Respuesta :
(9x - 4) (9x + 4)
9x (9x + 4 ) -4 (9x + 4)
81x^2 + 36x - 36x - 16
81x^2 - 16
ax2 - b
therefore the value of a is equal to 81
9x (9x + 4 ) -4 (9x + 4)
81x^2 + 36x - 36x - 16
81x^2 - 16
ax2 - b
therefore the value of a is equal to 81
Answer:
value of a is, 81
Step-by-step explanation:
Using the identity rule:
[tex](a+b)(a-b)=a^2-b^2[/tex]
Given the equation:
[tex](9x-4)(9x+4)=ax^2-b[/tex]
Apply the identity rule:
[tex](9x)^2-(4)^2=ax^2-b[/tex]
⇒[tex]81x^2-16=ax^2-b[/tex]
On comparing both sides we have;
[tex]a = 81[/tex] and b = 16
Therefore, the value of a is, 81