What is factor 49a^4b^4-16c^4 ?

The solution to factor 49a^4b^4-16c^4 is (7a^2b^2+4c^2)(7a^2b^2-4c^2)

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factor 49a^4b^4-16c^4

factor

49 a^{4} b^{4} - 16 c^{4}

(7 a^{2} b^{2} + 4 c^{2}) (7 a^{2} b^{2} - 4 c^{2})

Solution steps

49 a^{4} b^{4} - 16 c^{4}

49 a^{4} b^{4} = (7 a^{2} b^{2})^{2}

16 c^{4} = (4 c^{2})^{2}

= (7 a^{2} b^{2})^{2} - (4 c^{2})^{2}

Apply Difference of Two Squares Formula:

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

(7 a^{2} b^{2})^{2} - (4 c^{2})^{2} = (7 a^{2} b^{2} + 4 c^{2}) (7 a^{2} b^{2} - 4 c^{2})

= (7 a^{2} b^{2} + 4 c^{2}) (7 a^{2} b^{2} - 4 c^{2})

\frac{y - 2 x}{20 x} - \frac{x - 3 y}{24 y}

18 \times 6

2 \frac{1}{4} + 1 \frac{1}{3}

\frac{- y ^{3} z ^{5}}{y ^{2} z ^{3}}

\frac{4 - 4 i}{1 + 3 i}

What is factor 49a^4b^4-16c^4 ?
The solution to factor 49a^4b^4-16c^4 is (7a^2b^2+4c^2)(7a^2b^2-4c^2)