What is (sqrt(7)cos(x)+1)^2 ?

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

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simplify (sqrt(7)cos(x)+1)^2

simplify

(7 cos (x) + 1)^{2}

7 cos^{2} (x) + 27 cos (x) + 1

Solution steps

(7 cos (x) + 1)^{2}

Apply Perfect Square Formula:

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

(7 cos (x) + 1)^{2} = (7 cos (x))^{2} + 27 cos (x) \cdot 1 + 1^{2}

= (7 cos (x))^{2} + 27 cos (x) \cdot 1 + 1^{2}

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

27 cos (x) \cdot 1 = 27 cos (x)

1^{2} = 1

= 7 cos^{2} (x) + 27 cos (x) + 1

3 π (3 - 2)

\frac{\partial}{\partial x} ((z) (x^{2} + y^{2} - z^{2}))

4^{3}

x^{2} - 2 (a + \frac{1}{a}) x + 4

\frac{9 ( x - 2 ) ^{2}}{4}

What is (sqrt(7)cos(x)+1)^2 ?
The solution to (sqrt(7)cos(x)+1)^2 is 7cos^2(x)+2sqrt(7)cos(x)+1