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Question
Find the following product:
(7p4 + q) (49p8 − 7p4q + q2)
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Solution
Given (7p4 + q) (49p8 − 7p4q + q2)
We shall use the identity `a^3 + b^3 = (a+b)(a^2 - ab+ b^2)`
We can rearrange the (7p4 + q) (49p8 − 7p4q + q2) as
`(7p^4 + q)[(7p^4)^2 - (7p^4) (q)+ (q)^2]`
` = (7p^4)^3 + (q)^3`
` = (7p^4) xx (7p^4) xx (7p^4) + (q) xx (q) xx (q)`
` = 343p^12+q^3`
Hence the Product value of `(7p^4+ q)(49p^8 - 7p^4q+q^2)`is `343p^12 +q^3`.
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