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40x^{2}-15xz+8zx-3z^{2}
Apply the distributive property by multiplying each term of 5x+z by each term of 8x-3z.
40x^{2}-7xz-3z^{2}
Combine -15xz and 8zx to get -7xz.
40x^{2}-15xz+8zx-3z^{2}
Apply the distributive property by multiplying each term of 5x+z by each term of 8x-3z.
40x^{2}-7xz-3z^{2}
Combine -15xz and 8zx to get -7xz.