a) \(\left(3x+2\right)\left(2x-7\right)-\left(2x-9\right)\left(3x+5\right)\)
\(=6x^2-17x-14-\left(6x^2-17x-45\right)=31\)
b) \(\left(1-2x\right)\left(4x^2+2x+1\right)+2\left(4x^3-1\right)\)
\(-8x^3+1+8x^3-2=-1\)
c) \(\left(x+1\right)^3-\left(x-1\right)^3-6\left(x-1\right)\left(x+1\right)\)
\(=x^3+3x^2+3x+1-\left(x^3-3x^2+3x-1\right)-6\left(x^2-1\right)=8\)
\(a) \begin{align*} (3x+2)(2x-7)-(2x-9)(3x+5)&=6x^{2}-17x-14-(6x^{2}-17x-45)\ &=31 \end{align*}\)
\(b) \begin{align*} (1-2x)(4x^{2}+2x+1)+2(4x^{3}-1)&=-8x^{3}+1+8x^{3}-2\ &=-1 \end{align*}\)
\(c) \begin{align*} (x+1)^{3}-(x-1)^{3}-6(x-1)(x+1)&=x^{3}+3x^{2}+3x+1-(x^{3}-3x^{2}+3x-1)-6(x^{2}-1)\ &=8 \end{align*}\)
