What is factor r^2-9s^4 ?

The solution to factor r^2-9s^4 is (r+3s^2)(r-3s^2)

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factor r^2-9s^4

factor

r^{2} - 9 s^{4}

(r + 3 s^{2}) (r - 3 s^{2})

Solution steps

r^{2} - 9 s^{4}

Simplify

9 s^{4} : (3 s^{2})^{2}

= r^{2} - (3 s^{2})^{2}

Apply Difference of Two Squares Formula:

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

r^{2} - (3 s^{2})^{2} = (r + 3 s^{2}) (r - 3 s^{2})

= (r + 3 s^{2}) (r - 3 s^{2})

3^{- 9}

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