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Popular >

factor t^4-81

Solution

factor

t^{4} - 81

Solution

(t^{2} + 9) (t + 3) (t - 3)

Solution steps

t^{4} - 81

Apply exponent rules

= (t^{2})^{2} - 9^{2}

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

(t^{2})^{2} - 9^{2} = (t^{2} + 9) (t^{2} - 9)

= (t^{2} + 9) (t^{2} - 9)

Factor

t^{2} - 9 : (t + 3) (t - 3)

= (t^{2} + 9) (t + 3) (t - 3)

Popular Examples

d^{2} - 4 d + 5 = d

simplify (8y^3)(-3x^2y^2)(3/8 xy^4)simplify

(8 y^{3}) (- 3 x^{2} y^{2}) (\frac{3}{8} x y^{4})

x=22-33e^{-ln(10/33)(4)}

x = 22 - 33 e^{- l n (\frac{10}{33}) (4)}

- 3 (- w - 3) = 3 w - 26

2 x^{2} + 3 x + 5 \leq 0

Frequently Asked Questions (FAQ)

What is factor t^4-81 ?
The solution to factor t^4-81 is (t^2+9)(t+3)(t-3)