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Popular >

factor 16b^4-81b^4

Solution

factor

16 b^{4} - 81 b^{4}

Solution

- 65 b^{4}

Solution steps

16 b^{4} - 81 b^{4}

Rewrite

16 b^{4}

as

(2 b)^{4}

Rewrite

81 b^{4}

as

(3 b)^{4}

= (2 b)^{4} - (3 b)^{4}

Rewrite

(2 b)^{4} - (3 b)^{4}

as

((2 b)^{2})^{2} - ((3 b)^{2})^{2}

= ((2 b)^{2})^{2} - ((3 b)^{2})^{2}

Apply Difference of Two Squares Formula:

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

((2 b)^{2})^{2} - ((3 b)^{2})^{2} = ((2 b)^{2} + (3 b)^{2}) ((2 b)^{2} - (3 b)^{2})

= ((2 b)^{2} + (3 b)^{2}) ((2 b)^{2} - (3 b)^{2})

Factor

(2 b)^{2} - (3 b)^{2} : (2 b + 3 b) (2 b - 3 b)

= ((2 b)^{2} + (3 b)^{2}) (2 b + 3 b) (2 b - 3 b)

Simplify

((2 b)^{2} + (3 b)^{2}) (2 b + 3 b) (2 b - 3 b) : - 65 b^{4}

= - 65 b^{4}

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Frequently Asked Questions (FAQ)

What is factor 16b^4-81b^4 ?
The solution to factor 16b^4-81b^4 is -65b^4