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15x^{2}-40xz-9zx+24z^{2}
Apply the distributive property by multiplying each term of 5x-3z by each term of 3x-8z.
15x^{2}-49xz+24z^{2}
Combine -40xz and -9zx to get -49xz.
15x^{2}-40xz-9zx+24z^{2}
Apply the distributive property by multiplying each term of 5x-3z by each term of 3x-8z.
15x^{2}-49xz+24z^{2}
Combine -40xz and -9zx to get -49xz.