What is factor p^2q^2-64a^4 ?

The solution to factor p^2q^2-64a^4 is (pq+8a^2)(pq-8a^2)

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factor p^2q^2-64a^4

factor

p^{2} q^{2} - 64 a^{4}

(pq + 8 a^{2}) (pq - 8 a^{2})

Solution steps

p^{2} q^{2} - 64 a^{4}

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

64 a^{4} = (8 a^{2})^{2}

= (pq)^{2} - (8 a^{2})^{2}

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

(pq)^{2} - (8 a^{2})^{2} = (pq + 8 a^{2}) (pq - 8 a^{2})

= (pq + 8 a^{2}) (pq - 8 a^{2})

(a^{5})^{6}

16 + 4 k^{2}

2 m^{3} + 26 m^{2} + 64 m + 40

1 + \frac{( 2 b )}{3} + \frac{( b ^{2} )}{9}

(\frac{2 b ^{4}}{3 a ^{2} b ^{6}})^{4}

What is factor p^2q^2-64a^4 ?
The solution to factor p^2q^2-64a^4 is (pq+8a^2)(pq-8a^2)