What is factor 81x^4-16y^2 ?

The solution to factor 81x^4-16y^2 is (9x^2+4y)(9x^2-4y)

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factor 81x^4-16y^2

factor

81 x^{4} - 16 y^{2}

(9 x^{2} + 4 y) (9 x^{2} - 4 y)

Solution steps

81 x^{4} - 16 y^{2}

81 x^{4} = (9 x^{2})^{2}

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

= (9 x^{2})^{2} - (4 y)^{2}

Apply Difference of Two Squares Formula:

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

(9 x^{2})^{2} - (4 y)^{2} = (9 x^{2} + 4 y) (9 x^{2} - 4 y)

= (9 x^{2} + 4 y) (9 x^{2} - 4 y)

x \cdot x \cdot x \cdot x \cdot x^{2020}

3 w - \frac{7}{5} \frac{w ^{3}}{21} - 9 \frac{w}{27} w

(a + 3 + a - 3)^{2}

\frac{1}{( 2 ^{x} )} + \frac{1}{( 2 ^{x} )} + \frac{1}{( 2 ^{x} )} + \frac{1}{( 2 ^{x} )}

1453.5 (9.6 + 18.4 y + 597.2 y) - 28.5

What is factor 81x^4-16y^2 ?
The solution to factor 81x^4-16y^2 is (9x^2+4y)(9x^2-4y)