What is expand (3b+2e)^3 ?

The solution to expand (3b+2e)^3 is 27b^3+54eb^2+36e^2b+8e^3

Popular >

expand (3b+2e)^3

expand

(3 b + 2 e)^{3}

27 b^{3} + 54 e b^{2} + 36 e^{2} b + 8 e^{3}

Solution steps

(3 b + 2 e)^{3}

Apply Perfect Cube Formula:

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

a = 3 b, b = 2 e

= (3 b)^{3} + 3 (3 b)^{2} \cdot 2 e + 3 \cdot 3 b (2 e)^{2} + (2 e)^{3}

Simplify

(3 b)^{3} + 3 (3 b)^{2} \cdot 2 e + 3 \cdot 3 b (2 e)^{2} + (2 e)^{3} : 27 b^{3} + 54 e b^{2} + 36 e^{2} b + 8 e^{3}

= 27 b^{3} + 54 e b^{2} + 36 e^{2} b + 8 e^{3}

5^{(\frac{( x - 6 ) l n ( x ) - 24}{( x + 2 )})}

(2 x y^{3} - 6 x^{2} y^{2}) d x + (3 x^{2} y^{2} - 4 x^{3} y) d y

\frac{50 s ( 20 s + 200 )}{( s + 1 ) ( s ^{2} + 100 s + 10000 )}

- \frac{( 2 c - 10 ) ^{2}}{104} + 50

\frac{d}{d t} ((x) (5.8 t + 9.7 t^{2}))

What is expand (3b+2e)^3 ?
The solution to expand (3b+2e)^3 is 27b^3+54eb^2+36e^2b+8e^3