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Popular >

factor a^4+4a^2+16

Solution

factor

a^{4} + 4 a^{2} + 16

Solution

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

Solution steps

a^{4} + 4 a^{2} + 16

Add and subtract

4 a^{2}

= a^{4} + 8 a^{2} + 16 - 4 a^{2}

Factor

a^{4} + 8 a^{2} + 16 : (a^{2} + 4)^{2}

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

Factor

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

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

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Frequently Asked Questions (FAQ)

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