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Popular >

factor 1+t^2+1/4 t^4

Solution

factor

1 + t^{2} + \frac{1}{4} t^{4}

Solution

(\frac{t ^{2}}{2} + 1)^{2}

Solution steps

1 + t^{2} + \frac{1}{4} t^{4}

Write in the standard form

= \frac{t ^{4}}{4} + t^{2} + 1

Let

u = t^{2}

= \frac{u ^{2}}{4} + u + 1

Factor

\frac{u ^{2}}{4} + u + 1 : (\frac{u}{2} + 1)^{2}

= (\frac{u}{2} + 1)^{2}

Substitute back

u = t^{2}

= (\frac{t ^{2}}{2} + 1)^{2}

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Frequently Asked Questions (FAQ)

What is factor 1+t^2+1/4 t^4 ?
The solution to factor 1+t^2+1/4 t^4 is ((t^2)/2+1)^2