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Find the product: (3x-4y+5z)\ (9x^2+16 y...

Find the product: `(3x-4y+5z)\ (9x^2+16 y^2+25 z^2+12 x y-15 z x+20 y z)`

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To find the product of the expression \((3x - 4y + 5z)(9x^2 + 16y^2 + 25z^2 + 12xy - 15zx + 20yz)\), we can use the algebraic identity for the expansion of a trinomial. ### Step-by-Step Solution: 1. **Identify the Terms**: Let \(A = 3x\), \(B = -4y\), and \(C = 5z\). The second polynomial can be rewritten in terms of \(A\), \(B\), and \(C\): \[ A^2 + B^2 + C^2 - AB - AC - BC ...
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