What is expand (4a^4+7b^2)^3 ?

The solution to expand (4a^4+7b^2)^3 is 64a^{12}+336a^8b^2+588a^4b^4+343b^6

Popular >

expand (4a^4+7b^2)^3

expand

(4 a^{4} + 7 b^{2})^{3}

64 a^{12} + 336 a^{8} b^{2} + 588 a^{4} b^{4} + 343 b^{6}

Solution steps

(4 a^{4} + 7 b^{2})^{3}

Apply Perfect Cube Formula:

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

(4 a^{4} + 7 b^{2})^{3} = (4 a^{4})^{3} + 3 (4 a^{4})^{2} \cdot 7 b^{2} + 3 \cdot 4 a^{4} (7 b^{2})^{2} + (7 b^{2})^{3}

= (4 a^{4})^{3} + 3 (4 a^{4})^{2} \cdot 7 b^{2} + 3 \cdot 4 a^{4} (7 b^{2})^{2} + (7 b^{2})^{3}

Simplify

(4 a^{4})^{3} + 3 (4 a^{4})^{2} \cdot 7 b^{2} + 3 \cdot 4 a^{4} (7 b^{2})^{2} + (7 b^{2})^{3} : 64 a^{12} + 336 a^{8} b^{2} + 588 a^{4} b^{4} + 343 b^{6}

= 64 a^{12} + 336 a^{8} b^{2} + 588 a^{4} b^{4} + 343 b^{6}

f (arccos (\frac{1}{( 3 )}))

(10 - 6 x + x^{2})^{2}

(3.6) y (- 2.4)

(x + 5)^{2} + (x + 3)^{2} - 2 x^{2} - 34

1 + 2^{2} x + 3^{2} x^{2} + 4^{2} x^{3}

What is expand (4a^4+7b^2)^3 ?
The solution to expand (4a^4+7b^2)^3 is 64a^{12}+336a^8b^2+588a^4b^4+343b^6