What is expand 27y^3+(3a+1)^3 ?

The solution to expand 27y^3+(3a+1)^3 is 27y^3+27a^3+27a^2+9a+1

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expand 27y^3+(3a+1)^3

expand

27 y^{3} + (3 a + 1)^{3}

27 y^{3} + 27 a^{3} + 27 a^{2} + 9 a + 1

Solution steps

27 y^{3} + (3 a + 1)^{3}

Apply Perfect Cube Formula:

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

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

= 27 y^{3} + (3 a)^{3} + 3 (3 a)^{2} \cdot 1 + 3 \cdot 3 a \cdot 1^{2} + 1^{3}

Simplify

(3 a)^{3} + 3 (3 a)^{2} \cdot 1 + 3 \cdot 3 a \cdot 1^{2} + 1^{3} : 27 a^{3} + 27 a^{2} + 9 a + 1

= 27 y^{3} + 27 a^{3} + 27 a^{2} + 9 a + 1

\frac{1}{y - 2} + \frac{2}{y + 1} - \frac{y + 2}{y ^{2} - y - 2}

\frac{1}{7} + \frac{5}{5}

\frac{x ^{2} - 16}{x ^{2} + 4 x}

\frac{9 + 13 i}{- 4 - 3 i}

100 \div 10

What is expand 27y^3+(3a+1)^3 ?
The solution to expand 27y^3+(3a+1)^3 is 27y^3+27a^3+27a^2+9a+1