Question

Simplify (2a + 3)(2a -3)(4a2 + 9)
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Answer 1

Answer:

12a3 + 2a2 + 23a + 18

Step-by-step explanation:

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Answer 2

$Given \: (2a + 3)(2a -3)(4a^{2} + 9)$

$= [ (2a)^{2} - 3^{2} ] (4a^{2} + 9 )$

/* By algebraic identity */

$\boxed{\pink{ (x+y)(x-y) = x^{2} - y^{2} }}$

$= ( 4a^{2} - 9 ) (4a^{2} + 9 )$

$= ( 4a^{2})^{2} - 9^{2}$

$= 16a^{4} - 81$

Therefore.,

$\red{ (2a + 3)(2a -3)(4a^{2} + 9)}$

$\green { = 16a^{4} - 81 }$

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