What is factor w^6m^2-100x^4 ?

The solution to factor w^6m^2-100x^4 is (w^3m+10x^2)(w^3m-10x^2)

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factor w^6m^2-100x^4

factor

w^{6} m^{2} - 100 x^{4}

(w^{3} m + 10 x^{2}) (w^{3} m - 10 x^{2})

Solution steps

w^{6} m^{2} - 100 x^{4}

w^{6} m^{2} = (w^{3} m)^{2}

100 x^{4} = (10 x^{2})^{2}

= (w^{3} m)^{2} - (10 x^{2})^{2}

Apply Difference of Two Squares Formula:

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

(w^{3} m)^{2} - (10 x^{2})^{2} = (w^{3} m + 10 x^{2}) (w^{3} m - 10 x^{2})

= (w^{3} m + 10 x^{2}) (w^{3} m - 10 x^{2})

(- 1)^{15}

- 5 (7 a - 6)

i^{723}

- 2 x^{2} + 4 - 7 x^{2} - 4 x + 2 - 2 + 4 x

4 x y (x + 3 y)

What is factor w^6m^2-100x^4 ?
The solution to factor w^6m^2-100x^4 is (w^3m+10x^2)(w^3m-10x^2)