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(2x+1)*(2x-1)-(3x+1)2-(3x-2)*(5-2x)
=4x2-1-(9x2+6x+1)-(15x-6x2-10+4x)
=4x2-1-9x2-6x-1-15x+6x2+10-4x
=x2-25x+8
\(\left(3x+1\right)^2+2\left(3x+1\right)\left(2x-1\right)+\left(2x-1\right)^2=\left(3x+1+2x-1\right)^2=25x^2\)
\(\left(2x+1\right)^2+\left(3x-1\right)^2+2\left(2x+1\right)\left(3x-1\right)\)
\(=\left(2x+1\right)^2+2\left(2x+1\right)\left(3x-1\right)+\left(3x-1\right)^2\)
\(=\left[\left(2x+1\right)+\left(3x-1\right)\right]^2\)
a) \(\left(x-3\right)\left(3x+2\right)-3x\left(x-5\right)+3\)
\(=x.\left(3x+2\right)-3.\left(3x+2\right)-3x\left(x-5\right)+3\)
\(=x.3x+x.2-3.3x-3.2-3x.x+3x.5+3\)
\(=3x^2+2x-9x-6-3x^2+15x+3\)
\(=8x-3\)
b )
\(2x\left(x-3\right)-\left(x-5\right)\left(2x-1\right)\)
\(2x.x-2x.3-x.\left(2x-1\right)-5.\left(2x-1\right)\)
\(2x.x-2x.3-x.2x+x.1-5.2x+5.x\)
\(2x^3-6x-2x^2+x-10x+5x\)
\(2x^3-15x-2x^2\)
`-3x(2x+1)+(2x-1)(3x+2)`
`=-6x^2-3x+6x^2+4x-3x-2`
`=(6x^2-6x^2)+(4x-3x-3x)-2`
`=-2x-2`
A = \(-6x^2-3x+\left(6x^2+x-2\right)\)
= \(-2x-2\)