What is factor t^2-1t+0.25 ?

The solution to factor t^2-1t+0.25 is (t-0.5)^2

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factor t^2-1t+0.25

factor

t^{2} - 1 t + 0.25

(t - 0.5)^{2}

Solution steps

t^{2} - 1 \cdot t + 0.25

Write in the standard form

a x^{2} + b x + c

= t^{2} - t + 0.25

Rewrite

t^{2} - t + 0.25

t^{2} - 2 t \cdot 0.5 + (0.25)^{2}

= t^{2} - 2 t \cdot 0.5 + (0.25)^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

a = t, b = 0.5

= (t - 0.5)^{2}

(x + 2)^{2} + 6

a b^{(2)} + a + b + 1

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