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Use the perfect square trinomial formuals to factor. Be sure to factor out any common factors. 16y^2-8y+1
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well; the name of it seems rather author specific...
divide out the 16; and then complete the square
we have 16 = 4 * 4 and -4-4 = -8 so the factors are (4y - 1)(4y-1) or (4y-1)^2
16y^2-8y+1 ----------- 16 y^2 -(1/2)y + (1/16) ; (1/2)/2 = 1/4, sqaure it y^2 -(1/2)y +1/16 - 1/16 + 1/16 ; group it (y^2 -(1/2)y +1/16) +(-1/16 + 1/16) (y-1/4)^2 +0
16(y-(1/4))^2 perhaps ╠╬╩
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