What is factor 8m^3+4m^2-n^3-n^2 ?

The solution to factor 8m^3+4m^2-n^3-n^2 is (2m-n)(4m^2+2mn+2m+n^2+n)

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factor 8m^3+4m^2-n^3-n^2

factor

8 m^{3} + 4 m^{2} - n^{3} - n^{2}

(2 m - n) (4 m^{2} + 2 mn + 2 m + n^{2} + n)

Solution steps

8 m^{3} + 4 m^{2} - n^{3} - n^{2}

Factor

8 m^{3} - n^{3} : (2 m - n) (4 m^{2} + 2 mn + n^{2})

Factor

4 m^{2} - n^{2} : (2 m + n) (2 m - n)

= (2 m - n) (4 m^{2} + 2 mn + n^{2}) + (2 m + n) (2 m - n)

Factor out common term

(2 m - n)

= (2 m - n) (4 m^{2} + 2 mn + n^{2} + 2 m + n)

a x + 2 b x + 4 b y + 2 a y

\frac{1}{2} x^{2} - 1

5 ln (9 cos (6 x) + 9)

r (20 π)

(z)^{2}

What is factor 8m^3+4m^2-n^3-n^2 ?
The solution to factor 8m^3+4m^2-n^3-n^2 is (2m-n)(4m^2+2mn+2m+n^2+n)