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\left(15x^{2}-10x\right)\left(x+5\right)
Use the distributive property to multiply 5x by 3x-2.
15x^{3}+75x^{2}-10x^{2}-50x
Apply the distributive property by multiplying each term of 15x^{2}-10x by each term of x+5.
15x^{3}+65x^{2}-50x
Combine 75x^{2} and -10x^{2} to get 65x^{2}.
\left(15x^{2}-10x\right)\left(x+5\right)
Use the distributive property to multiply 5x by 3x-2.
15x^{3}+75x^{2}-10x^{2}-50x
Apply the distributive property by multiplying each term of 15x^{2}-10x by each term of x+5.
15x^{3}+65x^{2}-50x
Combine 75x^{2} and -10x^{2} to get 65x^{2}.