What is expand (sin(x^2)+5)^2 ?

The solution to expand (sin(x^2)+5)^2 is sin^2(x^2)+10sin(x^2)+25

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expand (sin(x^2)+5)^2

expand

(sin (x^{2}) + 5)^{2}

sin^{2} (x^{2}) + 10 sin (x^{2}) + 25

Solution steps

(sin (x^{2}) + 5)^{2}

Apply Perfect Square Formula:

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

(sin (x^{2}) + 5)^{2} = sin^{2} (x^{2}) + 2 sin (x^{2}) \cdot 5 + 5^{2}

= sin^{2} (x^{2}) + 2 sin (x^{2}) \cdot 5 + 5^{2}

Simplify

sin^{2} (x^{2}) + 2 sin (x^{2}) \cdot 5 + 5^{2} : sin^{2} (x^{2}) + 10 sin (x^{2}) + 25

= sin^{2} (x^{2}) + 10 sin (x^{2}) + 25

(1 - 4 sin^{2} (b)) cos (b)

(2 x + 2 y) (x + y) cos (x^{2} + 2 x y + y^{2})

\frac{t ( x ^{2} + 2 x )}{( x + 1 )}

(7 - 2) (5 + 3)

(- y e^{5} + 3 y e^{3} - y e^{7} + 4 y + 10) \cdot (5 y e^{2})

What is expand (sin(x^2)+5)^2 ?
The solution to expand (sin(x^2)+5)^2 is sin^2(x^2)+10sin(x^2)+25