What is expand (7+7sin(6pit))^2 ?

The solution to expand (7+7sin(6pit))^2 is 49+98sin(6pit)+49sin^2(6pit)

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expand (7+7sin(6pit))^2

expand

(7 + 7 sin (6 π t))^{2}

49 + 98 sin (6 π t) + 49 sin^{2} (6 π t)

Solution steps

(7 + 7 sin (6 π t))^{2}

Apply Perfect Square Formula:

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

a = 7, b = 7 sin (6 π t)

= 7^{2} + 2 \cdot 7 \cdot 7 sin (6 π t) + (7 sin (6 π t))^{2}

Simplify

7^{2} + 2 \cdot 7 \cdot 7 sin (6 π t) + (7 sin (6 π t))^{2} : 49 + 98 sin (6 π t) + 49 sin^{2} (6 π t)

= 49 + 98 sin (6 π t) + 49 sin^{2} (6 π t)

x^{\frac{3}{5}} (x - 5)

\frac{1 + 6 x}{( 1 + 2 x ) ^{3}}

(t - \frac{2}{t ^{2}})^{3}

\frac{1}{( s + 1 ) ( s + 3 )}

What is expand (7+7sin(6pit))^2 ?
The solution to expand (7+7sin(6pit))^2 is 49+98sin(6pit)+49sin^2(6pit)