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Popular >

factor m^4-16

Solution

factor

m^{4} - 16

Solution

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

Solution steps

m^{4} - 16

Apply exponent rules

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

Apply Difference of Two Squares Formula:

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

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

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

Factor

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

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

Popular Examples

∣ 2 x - 1 ∣ > 4

simplify 1/8*1/2 simplify

\frac{1}{8} \cdot \frac{1}{2}

simplify sqrt(-3)*sqrt(-75)simplify

- 3 \cdot - 75

1/2 (1+x)< 1/3 (1-x)

\frac{1}{2} (1 + x) < \frac{1}{3} (1 - x)

3 x^{2} + 10 x - 12 = 0

Frequently Asked Questions (FAQ)

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