What is (1+xsqrt(7))^2 ?

The solution to (1+xsqrt(7))^2 is 1+2sqrt(7)x+7x^2

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simplify (1+xsqrt(7))^2

simplify

(1 + x 7)^{2}

1 + 27 x + 7 x^{2}

Solution steps

(1 + x 7)^{2}

Apply Perfect Square Formula:

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

(1 + x 7)^{2} = 1^{2} + 2 \cdot 1 \cdot x 7 + (x 7)^{2}

= 1^{2} + 2 \cdot 1 \cdot x 7 + (x 7)^{2}

1^{2} = 1

2 \cdot 1 \cdot x 7 = 27 x

(x 7)^{2} = 7 x^{2}

= 1 + 27 x + 7 x^{2}

x^{3} y d x + (3 x^{4} - y^{3}) d y

(5 + 3 i)^{4}

- \frac{1}{s ^{2} ( s ^{2} - 6 )}

2 cos (x) + (2 x - \frac{π}{2}) sin (x)