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`a, x^2 + 2x + 1`
`= x^2 + 2.1.x + 1^2`
`= (x+1)^2`
`b,9x^2+y^2+6xy`
`= (3x)^2 + 2.3x.y + y^2`
`= (3x+y)^2`
`c, 25a^2+4b^2-20ab`
`= (5a)^2 - 2.2b.5a + (2b)^2`
`= (5a - 2b)^2`
`d, x^2 - x + 1/4`
`= x^2 - 2 * 1/2 * x + (1/2)^2`
`= (x-1/2)^2`