What is (4+xsqrt(2))^2 ?

The solution to (4+xsqrt(2))^2 is 16+8sqrt(2)x+2x^2

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simplify (4+xsqrt(2))^2

simplify

(4 + x 2)^{2}

16 + 82 x + 2 x^{2}

Solution steps

(4 + x 2)^{2}

Apply Perfect Square Formula:

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

(4 + x 2)^{2} = 4^{2} + 2 \cdot 4 x 2 + (x 2)^{2}

= 4^{2} + 2 \cdot 4 x 2 + (x 2)^{2}

4^{2} = 16

2 \cdot 4 x 2 = 82 x

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

= 16 + 82 x + 2 x^{2}

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

\frac{d}{d q} ((R (q)) ((q^{4} + 1)^{5}))

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

- ((s - 2 t) (s^{2})) sin ((t^{2}) (s - 2 t))

\frac{8 ( x ^{3} - 1 )}{x ^{3} - 16}