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Question
Find the following product:
(3x + 2y) (9x2 − 6xy + 4y2)
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Solution
In the given problem, we have to find the value of (3x + 2y) (9x2 − 6xy + 4y2)
Given (3x + 2y) (9x2 − 6xy + 4y2)
We shall use the identity `a^3 + b^3 = (a+b)(a^2 + b^2 - ab)`
We can rearrange the `(3x + 2y)(9x^3 - 6xy + 4y^2)`as
` = (3x + 2y)[(3x)^2 - (3x)(2y)+(2y)^2]`
` = (3x)^2 + (2y)^3`
` = (3x) xx (3x) xx (3x) + (2y) xx 2y xx (2y)`
` = 27x^3 + 8y^3`
Hence the Product value of `(3x+ 2y) (9x^2 - 6xy + 4y^2)`is `27x^3 + 8y^3`.
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