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A=\left(x^{2}+6x+9\right)\left(2x^{2}-3x+4\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+3\right)^{2}.
A=2x^{4}+9x^{3}+4x^{2}-3x+36
Use the distributive property to multiply x^{2}+6x+9 by 2x^{2}-3x+4 and combine like terms.