What is expand 2(d+sqrt(f^2-e^2))^2 ?

The solution to expand 2(d+sqrt(f^2-e^2))^2 is 2d^2+4dsqrt(f^2-e^2)+2f^2-2e^2

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expand 2(d+sqrt(f^2-e^2))^2

expand

2 (d + f^{2} - e^{2})^{2}

2 d^{2} + 4 d f^{2} - e^{2} + 2 f^{2} - 2 e^{2}

Solution steps

2 (d + f^{2} - e^{2})^{2}

(d + f^{2} - e^{2})^{2} = d^{2} + 2 d f^{2} - e^{2} + f^{2} - e^{2}

= 2 (d^{2} + 2 d f^{2} - e^{2} + f^{2} - e^{2})

Distribute parentheses

= 2 d^{2} + 2 \cdot 2 d f^{2} - e^{2} + 2 f^{2} + 2 (- e^{2})

Apply minus-plus rules

+ (- a) = - a

= 2 d^{2} + 2 \cdot 2 d f^{2} - e^{2} + 2 f^{2} - 2 e^{2}

Multiply the numbers:

2 \cdot 2 = 4

= 2 d^{2} + 4 d f^{2} - e^{2} + 2 f^{2} - 2 e^{2}

\frac{a ^{2}}{( x + a ) ^{2} \cdot x}

\frac{( y - 5 ) ( y + 1 )}{y}

(1, 4, - 2) x (3, 0, 5)

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

5 x (= 7 x + 3) + 2 x (- 2 x + 2)

What is expand 2(d+sqrt(f^2-e^2))^2 ?
The solution to expand 2(d+sqrt(f^2-e^2))^2 is 2d^2+4dsqrt(f^2-e^2)+2f^2-2e^2