What is expand (4-4sqrt(x)+x)^2 ?

The solution to expand (4-4sqrt(x)+x)^2 is x^2+24x-32sqrt(x)-8xsqrt(x)+16

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expand (4-4sqrt(x)+x)^2

expand

(4 - 4 x + x)^{2}

x^{2} + 24 x - 32 x - 8 x x + 16

Solution steps

(4 - 4 x + x)^{2}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(4 - 4 x + x)^{2} = (4 - 4 x + x) (4 - 4 x + x)

= (4 - 4 x + x) (4 - 4 x + x)

Distribute parentheses

= 4 \cdot 4 + 4 (- 4 x) + 4 x - 4 x \cdot 4 - 4 x (- 4 x) - 4 x x + x \cdot 4 + x (- 4 x) + xx

Simplify

4 \cdot 4 + 4 (- 4 x) + 4 x - 4 x \cdot 4 - 4 x (- 4 x) - 4 x x + x \cdot 4 + x (- 4 x) + xx : x^{2} + 24 x - 32 x - 8 x x + 16

= x^{2} + 24 x - 32 x - 8 x x + 16

\frac{3 ( a + b ) ^{2}}{2}

(7 x^{\frac{5}{3}} + 49 x^{\frac{2}{3}}) (5)

(1 + 2 π \cdot sin (2 π x))^{2}

\frac{7}{( s ^{2} + 49 ) ( s ^{2} + 9 )}

(4 x - 2 y) d x

What is expand (4-4sqrt(x)+x)^2 ?
The solution to expand (4-4sqrt(x)+x)^2 is x^2+24x-32sqrt(x)-8xsqrt(x)+16