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15x^{2}+22x+10
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15x^{2}+22x+10
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6x^{3}+15x^{2}+4x+10-6x\left(x^{2}-3\right)
Use the distributive property to multiply 3x^{2}+2 by 2x+5.
6x^{3}+15x^{2}+4x+10-6x^{3}+18x
Use the distributive property to multiply -6x by x^{2}-3.
15x^{2}+4x+10+18x
Combine 6x^{3} and -6x^{3} to get 0.
15x^{2}+22x+10
Combine 4x and 18x to get 22x.
6x^{3}+15x^{2}+4x+10-6x\left(x^{2}-3\right)
Use the distributive property to multiply 3x^{2}+2 by 2x+5.
6x^{3}+15x^{2}+4x+10-6x^{3}+18x
Use the distributive property to multiply -6x by x^{2}-3.
15x^{2}+4x+10+18x
Combine 6x^{3} and -6x^{3} to get 0.
15x^{2}+22x+10
Combine 4x and 18x to get 22x.
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