Question

expand the following, using suitable identities
(3x²-7)(3x²-8)
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Answer 1

Answer:

(3x²-7)(3x²-8) = 9x⁴-24x²-21x²+56= 9x⁴-45x²+56

Answer 2

Answer:

$9x^4$ - 45x² + 56

Step-by-step explanation:

Aim: To expand using suitable identities.

So, we will 1st distribute it like we would before we get the factorized answer.

(3x² - 7)(3x² - 8) = 3x²(3x² - 8) - 7(3x² - 8)

Now, let's solve:

• 3x²(3x² - 8) - 7(3x² - 8)

= 3x²(3x² - 8) = $9x^4$ - 24x²

• 3x²(3x² - 8) - 7(3x² - 8)

= -7(3x² - 8) = -21x² + 56

Now, adding them both:

$9x^4$ - 24x² - 21x² + 56

= $9x^4$ - 45x² + 56

Therefore, the expanded solution is '$9x^4$ - 45x² + 56'

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