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\left(3x+2\right)\left(x^{2}-10x+25\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-5\right)^{2}.
3x^{3}-28x^{2}+55x+50
Use the distributive property to multiply 3x+2 by x^{2}-10x+25 and combine like terms.
\left(3x+2\right)\left(x^{2}-10x+25\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-5\right)^{2}.
3x^{3}-28x^{2}+55x+50
Use the distributive property to multiply 3x+2 by x^{2}-10x+25 and combine like terms.