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\left(8x^{2}-20x+30x-75\right)\left(6x-10\right)
Apply the distributive property by multiplying each term of 4x+15 by each term of 2x-5.
\left(8x^{2}+10x-75\right)\left(6x-10\right)
Combine -20x and 30x to get 10x.
48x^{3}-80x^{2}+60x^{2}-100x-450x+750
Apply the distributive property by multiplying each term of 8x^{2}+10x-75 by each term of 6x-10.
48x^{3}-20x^{2}-100x-450x+750
Combine -80x^{2} and 60x^{2} to get -20x^{2}.
48x^{3}-20x^{2}-550x+750
Combine -100x and -450x to get -550x.
\left(8x^{2}-20x+30x-75\right)\left(6x-10\right)
Apply the distributive property by multiplying each term of 4x+15 by each term of 2x-5.
\left(8x^{2}+10x-75\right)\left(6x-10\right)
Combine -20x and 30x to get 10x.
48x^{3}-80x^{2}+60x^{2}-100x-450x+750
Apply the distributive property by multiplying each term of 8x^{2}+10x-75 by each term of 6x-10.
48x^{3}-20x^{2}-100x-450x+750
Combine -80x^{2} and 60x^{2} to get -20x^{2}.
48x^{3}-20x^{2}-550x+750
Combine -100x and -450x to get -550x.