What is factor p^4-p^3q+pq^3-q^4 ?

The solution to factor p^4-p^3q+pq^3-q^4 is (p-q)(p+q)(p^2-pq+q^2)

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factor p^4-p^3q+pq^3-q^4

factor

p^{4} - p^{3} q + p q^{3} - q^{4}

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

Solution steps

p^{4} - p^{3} q + p q^{3} - q^{4}

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

Factor out

p^{3}

from

p^{4} - p^{3} q : p^{3} (p - q)

Factor out

q^{3}

from

p q^{3} - q^{4} : q^{3} (p - q)

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

Factor out common term

p - q

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

Factor

p^{3} + q^{3} : (p + q) (p^{2} - pq + q^{2})

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

8 z + 10 = 2 + 9 z

\frac{3 x ^{2} - 5 x - 2}{x ^{2} - 9} < 0

\frac{\frac{1}{( a + h ) ^{2}} - \frac{1}{a ^{2}}}{h}

(a + b)^{4}

8 + \frac{16}{4}

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