What is factor b^4-36a^2 ?

The solution to factor b^4-36a^2 is (b^2+6a)(b^2-6a)

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factor b^4-36a^2

factor

b^{4} - 36 a^{2}

(b^{2} + 6 a) (b^{2} - 6 a)

Solution steps

b^{4} - 36 a^{2}

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

36 a^{2} = (6 a)^{2}

= (b^{2})^{2} - (6 a)^{2}

Apply Difference of Two Squares Formula:

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

(b^{2})^{2} - (6 a)^{2} = (b^{2} + 6 a) (b^{2} - 6 a)

= (b^{2} + 6 a) (b^{2} - 6 a)

(\frac{3 2}{2})^{2}

720 x - 720 - (i \cdot 40) x + 120 x + 10 (720 - 72 x) = 0

7 x^{2} + 14 x - 1 = 0

5 x^{2} + 30 x + 25 = 0

\frac{1 0 ^{- 2} x ^{- 4}}{y ^{0}}