What is expand (8e^2b^5-10)^2 ?

The solution to expand (8e^2b^5-10)^2 is 64e^4b^{10}-160e^2b^5+100

Popular >

expand (8e^2b^5-10)^2

expand

(8 e^{2} b^{5} - 10)^{2}

64 e^{4} b^{10} - 160 e^{2} b^{5} + 100

Solution steps

(8 e^{2} b^{5} - 10)^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

a = 8 e^{2} b^{5}, b = 10

= (8 e^{2} b^{5})^{2} - 2 \cdot 8 e^{2} b^{5} \cdot 10 + 1 0^{2}

Simplify

(8 e^{2} b^{5})^{2} - 2 \cdot 8 e^{2} b^{5} \cdot 10 + 1 0^{2} : 64 e^{4} b^{10} - 160 e^{2} b^{5} + 100

= 64 e^{4} b^{10} - 160 e^{2} b^{5} + 100

\frac{( 1 + x ) ( 1 - x ^{2} )}{x ^{3} - 3 x ^{2} - x + 1}

\frac{\partial}{\partial y} ((z) (x e^{yz} + y e^{x z} + 3 x yz - 2))

\frac{2 s + 3}{( s - 1 ) ^{3} ( s ^{3} + 1 )}

\frac{1}{( a - x ) ( b - x )}

(cos (\frac{θ}{2}) + sin (\frac{θ}{2}) e^{i φ})^{2}

What is expand (8e^2b^5-10)^2 ?
The solution to expand (8e^2b^5-10)^2 is 64e^4b^{10}-160e^2b^5+100