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Popular >

factor y^3+3y^2-4

Solution

factor

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

Solution

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

Solution steps

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

Use the rational root theorem

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

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

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

Factor

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

= (y - 1) (y + 2) (y + 2)

Apply exponent rule:

aa = a^{2}

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

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

Popular Examples

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y^{2} - 16 y + 55

simplify 1/2 e^{(-3pii)/4}simplify

\frac{1}{2} e^{\frac{- 3 πi}{4}}

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6 x^{2} + 11 x - 10

x - 13 > - 4

simplify 4/(5-sqrt(7))simplify

\frac{4}{5 - 7}

Frequently Asked Questions (FAQ)

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