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Step-by-step Solution

Solve the product $\left(3x-4y-5z\right)\left(3x-4y+5z\right)$

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Answer

$9x^2-15xz+16y^2+20yz+15zx-20zy-25z^2-24xy$

Step-by-step explanation

Problem to solve:

$\left(3x-4y-5z\right)\left(3x-4y+5z\right)$
1

Multiplying polynomials $5$ and $-4zy+-5z\cdot z$

$9x^2-12xy-15xz-12yx+16y^2+20yz+15zx-20zy-25z^2$
2

Adding $-12xy$ and $-12xy$

$9x^2-15xz+16y^2+20yz+15zx-20zy-25z^2-24xy$

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Answer

$9x^2-15xz+16y^2+20yz+15zx-20zy-25z^2-24xy$
$\left(3x-4y-5z\right)\left(3x-4y+5z\right)$

Main topic:

Special products

Time to solve it:

~ 0.7 seconds