Question

(4a^2-9) (4a^2-6a+9) (4a^2+6a+9)​

Answer 1

Answer:

$64a^6-729$

Step-by-step explanation:

Using the identity

• $(a+b)(a-b)=a^2-b^2$,

the given expression can be simplified.

$(4a^2-6a+9) (4a^2+6a+9)$

$=(4a^2+9)^2-(6a)^2$

$=16a^4+72a^2+81-36a^2$

$=16a^4+36a^2+81$

Then using the identity

• $(a-b)(a^2+ab+b^2)=a^3-b^3$,

$(4a^2-9)(16a^4+36a^2+81)$ can be simplified.

∴ $64a^6-729$