What is factor p^2q^2+m^6+2pqm^3 ?

The solution to factor p^2q^2+m^6+2pqm^3 is (pq+m^3)^2

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factor p^2q^2+m^6+2pqm^3

factor

p^{2} q^{2} + m^{6} + 2 pq m^{3}

(pq + m^{3})^{2}

Solution steps

p^{2} q^{2} + m^{6} + 2 pq m^{3}

Rewrite

p^{2} q^{2}

(pq)^{2}

= (pq)^{2} + m^{6} + 2 pq m^{3}

Break the expression into groups

= ((pq)^{2} + pq m^{3}) + (pq m^{3} + m^{6})

Factor out

pq

from

(pq)^{2} + pq m^{3} : pq (m^{3} + pq)

Factor out

m^{3}

from

pq m^{3} + m^{6} : m^{3} (m^{3} + pq)

= pq (m^{3} + pq) + m^{3} (m^{3} + pq)

Factor out common term

pq + m^{3}

= (pq + m^{3}) (pq + m^{3})

Refine

= (pq + m^{3})^{2}

ma + nb - mb - na

3 x y + 3 x z - 5 y - 5 z

40 b c + 9 c x - 24 b x - 15 c^{2}

3 p - m p + 3 n - mn

b x^{2} + c x^{2} - b y^{2} - c y^{2}

What is factor p^2q^2+m^6+2pqm^3 ?
The solution to factor p^2q^2+m^6+2pqm^3 is (pq+m^3)^2