What is expand (2L+K)(2L^{1/2}+3K^{1/2}) ?

The solution to expand (2L+K)(2L^{1/2}+3K^{1/2}) is 4L^{3/2}+6LK^{1/2}+K*2L^{1/2}+3K^{3/2}

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expand (2L+K)(2L^{1/2}+3K^{1/2})

expand

(2 L + K) (2 L^{\frac{1}{2}} + 3 K^{\frac{1}{2}})

4 L^{\frac{3}{2}} + 6 L K^{\frac{1}{2}} + K \cdot 2 L^{\frac{1}{2}} + 3 K^{\frac{3}{2}}

Solution steps

(2 L + K) (2 L^{\frac{1}{2}} + 3 K^{\frac{1}{2}})

Apply FOIL method

(2 L + K) (2 L^{\frac{1}{2}} + 3 K^{\frac{1}{2}}) : 4 L^{\frac{3}{2}} + 6 L K^{\frac{1}{2}} + K \cdot 2 L^{\frac{1}{2}} + 3 K^{\frac{3}{2}}

= 4 L^{\frac{3}{2}} + 6 L K^{\frac{1}{2}} + K \cdot 2 L^{\frac{1}{2}} + 3 K^{\frac{3}{2}}

(- 1)^{n + 1} (1 + \frac{1}{n ^{2}})

(z - \frac{1}{z})^{2}

\frac{k ( 2 k + 1 ) ( 4 k + 1 )}{3} + (2 (k + 1))^{2}

(x - \frac{5}{4})^{2} + 3

(x sin (θ) + y cos (θ))^{2}

What is expand (2L+K)(2L^{1/2}+3K^{1/2}) ?
The solution to expand (2L+K)(2L^{1/2}+3K^{1/2}) is 4L^{3/2}+6LK^{1/2}+K*2L^{1/2}+3K^{3/2}