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Popular >

factor b^4-81

Solution

factor

b^{4} - 81

Solution

(b^{2} + 9) (b + 3) (b - 3)

Solution steps

b^{4} - 81

Apply exponent rules

= (b^{2})^{2} - 9^{2}

Apply Difference of Two Squares Formula:

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

(b^{2})^{2} - 9^{2} = (b^{2} + 9) (b^{2} - 9)

= (b^{2} + 9) (b^{2} - 9)

Factor

b^{2} - 9 : (b + 3) (b - 3)

= (b^{2} + 9) (b + 3) (b - 3)

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Frequently Asked Questions (FAQ)

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