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\left(9x^{2}+24x+16\right)\left(2x-1\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3x+4\right)^{2}.
\left(9x^{2}+24x+16\right)\left(4x^{2}-4x+1\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2x-1\right)^{2}.
36x^{4}+60x^{3}-23x^{2}-40x+16
Use the distributive property to multiply 9x^{2}+24x+16 by 4x^{2}-4x+1 and combine like terms.
\left(9x^{2}+24x+16\right)\left(2x-1\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3x+4\right)^{2}.
\left(9x^{2}+24x+16\right)\left(4x^{2}-4x+1\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2x-1\right)^{2}.
36x^{4}+60x^{3}-23x^{2}-40x+16
Use the distributive property to multiply 9x^{2}+24x+16 by 4x^{2}-4x+1 and combine like terms.