What is factor 1000+27a^3 ?

The solution to factor 1000+27a^3 is (3a+10)(9a^2-30a+100)

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factor 1000+27a^3

factor

1000 + 27 a^{3}

(3 a + 10) (9 a^{2} - 30 a + 100)

Solution steps

1000 + 27 a^{3}

Write in the standard form

= 27 a^{3} + 1000

Apply exponent rules

= (3 a)^{3} + 1 0^{3}

Apply Sum of Cubes Formula:

x^{3} + y^{3} = (x + y) (x^{2} - x y + y^{2})

(3 a)^{3} + 1 0^{3} = (3 a + 10) (3^{2} a^{2} - 10 \cdot 3 a + 1 0^{2})

= (3 a + 10) (3^{2} a^{2} - 10 \cdot 3 a + 1 0^{2})

Simplify

(3 a + 10) (3^{2} a^{2} - 10 \cdot 3 a + 1 0^{2}) : (3 a + 10) (9 a^{2} - 30 a + 100)

= (3 a + 10) (9 a^{2} - 30 a + 100)

8 = 3 + \frac{x}{4}

12 x + 20 x y

3 (x + 3) = 21

\frac{3 ( x - 4 )}{12} \leq \frac{2 x}{3}

x (12 x - 5) < 0

What is factor 1000+27a^3 ?
The solution to factor 1000+27a^3 is (3a+10)(9a^2-30a+100)