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

The solution to factor 81x^4-16y^4 is (9x^2+4y^2)(3x+2y)(3x-2y)

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factor 81x^4-16y^4

factor

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

(9 x^{2} + 4 y^{2}) (3 x + 2 y) (3 x - 2 y)

Solution steps

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

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

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

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

Apply Difference of Two Squares Formula:

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

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

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

Factor

9 x^{2} - 4 y^{2} : (3 x + 2 y) (3 x - 2 y)

= (9 x^{2} + 4 y^{2}) (3 x + 2 y) (3 x - 2 y)

\frac{9}{75}

\frac{4 x ^{3} y ^{3}}{4 x ^{8} y ^{7}}

1. 9^{2}

- 2 - 9

2 x + 31 = 2 x - 31

What is factor 81x^4-16y^4 ?
The solution to factor 81x^4-16y^4 is (9x^2+4y^2)(3x+2y)(3x-2y)