What is factor 27+8a^3 ?

The solution to factor 27+8a^3 is (2a+3)(4a^2-6a+9)

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factor 27+8a^3

factor

27 + 8 a^{3}

(2 a + 3) (4 a^{2} - 6 a + 9)

Solution steps

27 + 8 a^{3}

Write in the standard form

= 8 a^{3} + 27

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

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

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

Simplify

(2 a + 3) (2^{2} a^{2} - 3 \cdot 2 a + 3^{2}) : (2 a + 3) (4 a^{2} - 6 a + 9)

= (2 a + 3) (4 a^{2} - 6 a + 9)

lo g_{2} (1 0^{7})

\frac{5 + 7}{2}

11 \cdot 22

8 x^{2} y + 4 x y^{2}

\frac{- x + y}{- y + x}