What is factor m^2p-m^2q+pq-q^2 ?

The solution to factor m^2p-m^2q+pq-q^2 is (p-q)(m^2+q)

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factor m^2p-m^2q+pq-q^2

factor

m^{2} p - m^{2} q + pq - q^{2}

(p - q) (m^{2} + q)

Solution steps

m^{2} p - m^{2} q + pq - q^{2}

Factor out common term

m^{2}

= m^{2} (p - q) + pq - q^{2}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

q^{2} = qq

= m^{2} (p - q) + pq - qq

Factor out common term

q

= m^{2} (p - q) + q (p - q)

Factor out common term

(p - q)

= (p - q) (m^{2} + q)

am + bm + c m - an - bn - c n

t^{2.2} + 19 t - 4.45 t^{2}

x - x^{1.3}

60 e^{2} + 84 e f^{2}

1 6^{5} - 44 x^{4} + 3 0^{3}

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