What is factor-81+a^4 ?

The solution to factor-81+a^4 is (a^2+9)(a+3)(a-3)

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factor-81+a^4

factor

- 81 + a^{4}

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

Solution steps

- 81 + a^{4}

Write in the standard form

= a^{4} - 81

Apply exponent rules

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

Apply Difference of Two Squares Formula:

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

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

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

Factor

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

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

3 v - v^{2} = 0

- 5 b + 24 = - 1

8 x^{2} - 2 x - 18 = 15

100 \cdot 0.05 5^{2} = 0.0038 \cdot x^{2}

(3 x - 2) (x + 4) + (3 x - 2) (x - 1)