What is factor a^3+a^2-21a-45 ?

The solution to factor a^3+a^2-21a-45 is (a+3)^2(a-5)

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factor a^3+a^2-21a-45

factor

a^{3} + a^{2} - 21 a - 45

(a + 3)^{2} (a - 5)

Solution steps

a^{3} + a^{2} - 21 a - 45

Use the rational root theorem

= (a + 3) \frac{a ^{3} + a ^{2} - 21 a - 45}{a + 3}

\frac{a ^{3} + a ^{2} - 21 a - 45}{a + 3} = a^{2} - 2 a - 15

= (a + 3) (a^{2} - 2 a - 15)

Factor

a^{2} - 2 a - 15 : (a + 3) (a - 5)

= (a + 3) (a + 3) (a - 5)

Apply exponent rule:

aa = a^{2}

(a + 3) (a + 3) = (a + 3)^{2}

= (a + 3)^{2} (a - 5)

1 - 125 y^{3}

p^{3} + 9 p^{2} + 27 p + 27

32 p^{4} + 72 p^{2} q^{2} + 162 q^{4}

l (cos^{22} (t))

- a^{2} + 8 a - 16 + b^{2}

What is factor a^3+a^2-21a-45 ?
The solution to factor a^3+a^2-21a-45 is (a+3)^2(a-5)