What is factor m^4-256 ?

The solution to factor m^4-256 is (m^2+16)(m+4)(m-4)

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factor m^4-256

factor

m^{4} - 256

(m^{2} + 16) (m + 4) (m - 4)

Solution steps

m^{4} - 256

Apply exponent rules

= (m^{2})^{2} - 1 6^{2}

Apply Difference of Two Squares Formula:

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

(m^{2})^{2} - 1 6^{2} = (m^{2} + 16) (m^{2} - 16)

= (m^{2} + 16) (m^{2} - 16)

Factor

m^{2} - 16 : (m + 4) (m - 4)

= (m^{2} + 16) (m + 4) (m - 4)

4 n^{2} + 8 n + 3

3 w^{2} - 13 w = 10

b \cdot b

16 m^{2} - 24 mn + 9 n^{2}