`A = (x - 2) . (x + 2) + (x - 3) . (x + 3) - x . (2x +1) - 4`
`=x^2-4+x^2-9-2x^2-x-4`
`=(x^2+x^2-2x^2)+(-4-9-4)-x`
`= -x-17`
`B = (5a - b + 1) . (5a + b - 1) - 24 . (a + 1)^2 + b^2 - 1`
`=(5a - b + 1) . [5a -(-b+1)] - 24 . (a + 1)^2 + b^2 - 1`
`=25a^2-(1-b)^2 - 24 . (a + 1)^2 + b^2 - 1`
`=25a^2-(1-2b+b^2) - 24 . (a + 1)^2 + b^2 - 1`
`=25a^2-1+2b-b^2 -24(a^2+2a+1)+ b^2 - 1`
`=25a^2-1+2b-b^2 -24a^2-48a-24+ b^2 - 1`
`=(25a^2-24a^2)+(-b^2 + b^2 )-48a+2b+(- 1-24-1)`
`= a^2 -48a+2b -26 `
`C = (a + b + c) . (a + b - c) + (a + c + b) . (a + c - b)`
`=(a+b+c)(a + b - c+a + c - b)`
`=2a(a+b+c)`
`=2a^2+2ab+2ac`