What is (2x+6sqrt(2)sqrt(x))^2 ?

The solution to (2x+6sqrt(2)sqrt(x))^2 is 4x^2+24sqrt(2)xsqrt(x)+72x

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simplify (2x+6sqrt(2)sqrt(x))^2

simplify

(2 x + 62 x)^{2}

4 x^{2} + 242 x x + 72 x

Solution steps

(2 x + 62 x)^{2}

Apply Perfect Square Formula:

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

(2 x + 62 x)^{2} = (2 x)^{2} + 2 \cdot 2 x \cdot 62 x + (62 x)^{2}

= (2 x)^{2} + 2 \cdot 2 x \cdot 62 x + (62 x)^{2}

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

2 \cdot 2 x \cdot 62 x = 242 x x

(62 x)^{2} = 72 x

= 4 x^{2} + 242 x x + 72 x

\frac{d x}{( x + 3 a ) ( x + 4 a )}

(x^{2} + 1)^{2} (x^{2} - 1)

A (3, 4) B (- 2, - 5)

\frac{x - 2}{6} + \frac{x + 1}{8}

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

What is (2x+6sqrt(2)sqrt(x))^2 ?
The solution to (2x+6sqrt(2)sqrt(x))^2 is 4x^2+24sqrt(2)xsqrt(x)+72x