\(a,=4x^2+4x+1+4x^2-4x+1=8x^2+2\\ b,=\left[\left(2x+1\right)-\left(2x-1\right)\right]\left[\left(2x+1\right)+\left(2x-1\right)\right]=\left(2x+1-2x+1\right)\left(2x+1+2x-1\right)=2\left(4x\right)=8x\\ c,=\left[\left(x+2y\right)-\left(x-2y\right)\right]\left[\left(x+2y\right)+\left(x-2y\right)\right]=\left(x+2y-x+2y\right)\left(x+2y+x-2y\right)=4y.2x=8xy\\ d,=x^2+2x+1+x^2-2x+1=2x^2+2\)
a: \(=4x^2+4x+1+4x^2-4x+1=8x^2+2\)
b: \(=4x^2+4x+1-4x^2+4x-1=8x\)
c: \(=x^2+4xy+4y^2-x^2+4xy-4y^2=8xy\)
d: \(=x^2+2x+1+x^2-2x+1=2x^2+2\)
`[36]`
`a, = 4x^2 + 4x + 1 + 4x^2 - 4x +1`
`= 8x^2 + 2`
`b, = x^2 + 4y + 4y^2 + x^2 - 4y + 4y^2`
`= 2x^2 + 8y^2`
`c, = x^3 + 3x^2 + 3x + 1 - x^3 + 3x^2 - 3x + 1`
`= 6x^2 + 2`
`d, 4x^2 + 4x + 1 - 4x^2 + 4x + 1`
`= 8x`
`e, = x^2 + 2x + 1 + x^2 - 2x + 1`
`= 2x^2 + 2`
`f, = 64 x^3 + 48x^2 + 12 x + 1 - 8x^3 +12x^2 - 6x + 1`
`= 56 x^3 + 60 x^2 + 6x + 2`
