`a)``(x+5)^{2}`
`=x^{2}+10x+25`
`b)``(5/2-t)^{2}`
`=(5/2)^{2}-2.(5)/2.t+t^{2}`
`=25/4-10/2t+t^{2}`
`c)``(2u+3v)^{2}`
`=(2u)^{2}+2.2u.3v+(3v)^{2}`
`=4u^{2}+12uv+9v^{2}`
`d)``(-1/8a+2/3bc)^{2}`
`=(-1/8a)^{2}+2.(-1/8a).(2)/3bc+(2/3bc)^{2}`
`=1/64a^{2}-4/24abc+4/9b^{2}c^{2}`
`e)``(x/y-1/z)^{2}=(x/y)^{2}-2.x/y.(1)/z+(1/z)^{2}`
`=x^{2}/y^{2}-(2x)/(yz)+1/z^{2}`
`f)``(m/4-x/6).(m/4+x/6)`
`=(m/4)^{2}-(x/6)^{2}`
`=m^{2}/16-x^{2}/36`
`g)``(a-b+c)^{2}`
`= [a + (- b) + c]^{2}`
`= a^{2} + (-b^{2}) + c^{2} + 2 (a) (-b) + 2 (-b) (-c) + 2(c) (a)`
`= a^{2} + b^{2} + c^{2} – 2ab – 2bc + 2ca `
`h)``(-a-b-c)^{2}=-(a+b+c)^{2}`
`= [a + b + (-c)]^{2}`
`= a^{2} + b^{2} + (-c)^{2} + 2ab + 2 (b) (-c) + 2 (-c) (a)`
`= a^{2} + b^{2} + c^{2} + 2ab – 2bc - 2ca`
