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Popular >

factor m^3+3m^2-4

Solution

factor

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

Solution

(m - 1) (m + 2)^{2}

Solution steps

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

Use the rational root theorem

= (m - 1) \frac{m ^{3} + 3 m ^{2} - 4}{m - 1}

\frac{m ^{3} + 3 m ^{2} - 4}{m - 1} = m^{2} + 4 m + 4

= (m - 1) (m^{2} + 4 m + 4)

Factor

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

= (m - 1) (m + 2) (m + 2)

Apply exponent rule:

aa = a^{2}

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

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

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Frequently Asked Questions (FAQ)

What is factor m^3+3m^2-4 ?
The solution to factor m^3+3m^2-4 is (m-1)(m+2)^2