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Popular >

factor v^4-81

Solution

factor

v^{4} - 81

Solution

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

Solution steps

v^{4} - 81

Apply exponent rules

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

Apply Difference of Two Squares Formula:

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

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

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

Factor

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

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

Popular Examples

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- 150 \times 6

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x^{2} + 3 x + \frac{1}{4}

simplify 1/16-1/8 simplify

\frac{1}{16} - \frac{1}{8}

Frequently Asked Questions (FAQ)

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