What is expand (sin(x)+e^x)^2 ?

The solution to expand (sin(x)+e^x)^2 is sin^2(x)+2e^xsin(x)+e^{2x}

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expand (sin(x)+e^x)^2

expand

(sin (x) + e^{x})^{2}

sin^{2} (x) + 2 e^{x} sin (x) + e^{2 x}

Solution steps

(sin (x) + e^{x})^{2}

Apply Perfect Square Formula:

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

a = sin (x), b = e^{x}

= sin^{2} (x) + 2 sin (x) e^{x} + (e^{x})^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= sin^{2} (x) + 2 e^{x} sin (x) + e^{2 x}

(x, y) \Rightarrow (x + 6, y - 6)

1 (a + b)

\frac{2 x ^{2} - 7 x + 3}{( x - 2 ) ^{2}}

sin (\frac{π}{2} \cdot (x + 1))

(x + 1) - 2 x

What is expand (sin(x)+e^x)^2 ?
The solution to expand (sin(x)+e^x)^2 is sin^2(x)+2e^xsin(x)+e^{2x}