4x^(4)-16
get the complete factored form
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4x^(4)-16
get the complete factored form
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Answer:
(x2+4)(x+2)(x−2)(x2+4)(x+2)(x-2)
Step-by-step explanation:
Rewrite x4x4 as (x2)2(x2)2.
(x2)2−16(x2)2-16
Rewrite 1616 as 4242.
(x2)2−42(x2)2-42
Since both terms are perfect squares, factor using the difference of squaresformula, a2−b2=(a+b)(a−b)a2-b2=(a+b)(a-b) where a=x2a=x2 and b=4b=4.
(x2+4)(x2−4)
Rewrite 44 as 2222.
(x2+4)(x2−22)
Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b)a2-b2=(a+b)(a-b) where a=xa=x and b=2b=2.
(x2+4)((x+2)(x−2))(x2+4)((x+2)(x-2))
Remove unnecessary parentheses.
(x2+4)(x+2)(x−2)(x2+4)(x+2)(x-2)