What is expand (2a^3+5b^4)^3 ?

The solution to expand (2a^3+5b^4)^3 is 8a^9+60a^6b^4+150a^3b^8+125b^{12}

Popular >

expand (2a^3+5b^4)^3

expand

(2 a^{3} + 5 b^{4})^{3}

8 a^{9} + 60 a^{6} b^{4} + 150 a^{3} b^{8} + 125 b^{12}

Solution steps

(2 a^{3} + 5 b^{4})^{3}

Apply Perfect Cube Formula:

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

(2 a^{3} + 5 b^{4})^{3} = (2 a^{3})^{3} + 3 (2 a^{3})^{2} \cdot 5 b^{4} + 3 \cdot 2 a^{3} (5 b^{4})^{2} + (5 b^{4})^{3}

= (2 a^{3})^{3} + 3 (2 a^{3})^{2} \cdot 5 b^{4} + 3 \cdot 2 a^{3} (5 b^{4})^{2} + (5 b^{4})^{3}

Simplify

(2 a^{3})^{3} + 3 (2 a^{3})^{2} \cdot 5 b^{4} + 3 \cdot 2 a^{3} (5 b^{4})^{2} + (5 b^{4})^{3} : 8 a^{9} + 60 a^{6} b^{4} + 150 a^{3} b^{8} + 125 b^{12}

= 8 a^{9} + 60 a^{6} b^{4} + 150 a^{3} b^{8} + 125 b^{12}

43 \times 23

- \frac{1}{2} lo g_{5} (25)

\frac{( 3 a y ) ^{4}}{3 a y ( \frac{1}{3} a y )}

9 x^{2} - 9 x - 18

2 \frac{1}{2} \times 3

What is expand (2a^3+5b^4)^3 ?
The solution to expand (2a^3+5b^4)^3 is 8a^9+60a^6b^4+150a^3b^8+125b^{12}