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\left(x^{2}+5x-3x-15\right)\left(x-6\right)
Apply the distributive property by multiplying each term of x-3 by each term of x+5.
\left(x^{2}+2x-15\right)\left(x-6\right)
Combine 5x and -3x to get 2x.
x^{3}-6x^{2}+2x^{2}-12x-15x+90
Apply the distributive property by multiplying each term of x^{2}+2x-15 by each term of x-6.
x^{3}-4x^{2}-12x-15x+90
Combine -6x^{2} and 2x^{2} to get -4x^{2}.
x^{3}-4x^{2}-27x+90
Combine -12x and -15x to get -27x.
\left(x^{2}+5x-3x-15\right)\left(x-6\right)
Apply the distributive property by multiplying each term of x-3 by each term of x+5.
\left(x^{2}+2x-15\right)\left(x-6\right)
Combine 5x and -3x to get 2x.
x^{3}-6x^{2}+2x^{2}-12x-15x+90
Apply the distributive property by multiplying each term of x^{2}+2x-15 by each term of x-6.
x^{3}-4x^{2}-12x-15x+90
Combine -6x^{2} and 2x^{2} to get -4x^{2}.
x^{3}-4x^{2}-27x+90
Combine -12x and -15x to get -27x.