What is (4+xsqrt(3))^2 ?

The solution to (4+xsqrt(3))^2 is 16+8sqrt(3)x+3x^2

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simplify (4+xsqrt(3))^2

simplify

(4 + x 3)^{2}

16 + 83 x + 3 x^{2}

Solution steps

(4 + x 3)^{2}

Apply Perfect Square Formula:

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

(4 + x 3)^{2} = 4^{2} + 2 \cdot 4 x 3 + (x 3)^{2}

= 4^{2} + 2 \cdot 4 x 3 + (x 3)^{2}

4^{2} = 16

2 \cdot 4 x 3 = 83 x

(x 3)^{2} = 3 x^{2}

= 16 + 83 x + 3 x^{2}

90 - 6 0^{(- 0.125) (8)}

(x^{3} + 3 x^{2}) d x

\frac{- 2 x ^{2} - 2 x + 4}{( x ^{2} + 6 x + 5 ) ^{2}}

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

(e^{t} sin (2 t) + 2 e^{t} cos (2 t))^{2}