Question

Find the product using suitable identity. (a+3) (a-3) (a^2 +9)

Answer 1

(a+3)(a-3)(a^2+9)
(a^2-3^2)(a^2+9) <(a+b)(a-b)>
(a^2-9)(a^2+9)
[(a^2)^2]-9^2
a^4-81 (ans)

Answer 2

$a^4 - 81$ is the product of the given identity.

Step-by-step explanation:

Given:

Find the product using suitable identity. (a+3) (a-3) ($a^2$ +9)

Solution:

Consider (a + 3) (a – 3)

By formula, (a + b) (a – b) = $a^2 - b^2$

(a + 3) (a – 3) = $a^2 - 3^2$

= $a^2 - 9$

(a+3) (a-3) ($a^2$+9) = $(a^2 - 9) (a^2+9)$

Applying the formula to the above expression,  

$(a^2)^2 - 9^2 = a^4 - 81$

To Know more:

Find the product using suitable identity: (a + 3) (a-3) (a? +9)​

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