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Popular >

factor v^4-16

Solution

factor

v^{4} - 16

Solution

(v^{2} + 4) (v + 2) (v - 2)

Solution steps

v^{4} - 16

Apply exponent rules

= (v^{2})^{2} - 4^{2}

Apply Difference of Two Squares Formula:

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

(v^{2})^{2} - 4^{2} = (v^{2} + 4) (v^{2} - 4)

= (v^{2} + 4) (v^{2} - 4)

Factor

v^{2} - 4 : (v + 2) (v - 2)

= (v^{2} + 4) (v + 2) (v - 2)

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Frequently Asked Questions (FAQ)

What is factor v^4-16 ?
The solution to factor v^4-16 is (v^2+4)(v+2)(v-2)