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Popular >

factor p^4+2p^2+9

Solution

factor

p^{4} + 2 p^{2} + 9

Solution

(p^{2} + 2 p + 3) (p^{2} - 2 p + 3)

Solution steps

p^{4} + 2 p^{2} + 9

Add and subtract

4 p^{2}

= p^{4} + 6 p^{2} + 9 - 4 p^{2}

Factor

p^{4} + 6 p^{2} + 9 : (p^{2} + 3)^{2}

= (p^{2} + 3)^{2} - 4 p^{2}

Factor

(p^{2} + 3)^{2} - 4 p^{2} : (p^{2} + 3 + 2 p) (p^{2} + 3 - 2 p)

= (p^{2} + 3 + 2 p) (p^{2} + 3 - 2 p)

= (p^{2} + 2 p + 3) (p^{2} - 2 p + 3)

Popular Examples

factor 2x^4+54x factor

2 x^{4} + 54 x

simplify (5a^4b^3)(-2a^2b^5)(4a^2b)simplify

(5 a^{4} b^{3}) (- 2 a^{2} b^{5}) (4 a^{2} b)

simplify (-4x^4*4y^3*z)^2 simplify

(- 4 x^{4} \cdot 4 y^{3} \cdot z)^{2}

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(\frac{( 16 w ^{8} )}{( y ^{20} )})^{\frac{- 3}{4}}

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\frac{( 1 + \frac{a}{b} )}{( 1 + \frac{b}{a} )}

Frequently Asked Questions (FAQ)

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